The piecewise function f(x) has opposite expressions. F(x) = startlayout enlarged left-brace 1st row 1st column 2 x minus 1, 2nd column x less-than 0 2nd row 1st column 0, 2nd column x = 0 3rd row 1st column negative 2 x + 1, 2nd column x greater-than 0 which is the graph of f(x)?.
Answers
The piecewise expression presented in the question gives values of f(x)
that change based on the range of the input value, x.
The graph of the piecewise expression f(x) is attachedReasons:
The given piecewise function is presented as follows;
[tex]f(x) = \begin{cases}2 \cdot x - 1, & \text{ if } x < 0 \\0, & \text{ if } x = 0\\-2 \cdot x + 1, & \text{ if } x > 0 \end{cases}[/tex]Required:
To find the graph of f(x)
Solution:
From the piecewise function, we have;
For x < 0, f(x) = 2·x - 1The slope, m = 2
Therefore, as x tends to 0, f(x) tends to 2×0 - 1 = -1
Therefore, for x < 0, the graph starts with an open circle at f(x) = -1, and f(x) decreases as graph moves from right to left.
At x = 0, f(x) = 0, which represent a point on the graphFor x > 0, f(x) = -2·x + 1
Which gives that as x tends to 0, f(x) tends to +1
The slope of the graph, m = -2
Therefore, the graph is a straight line that starts with an open circle at f(x) = +1 and slopes downwards from left to right.
Please find attached the graph of f(x) created with MS Excel
Learn more about piecewise function here:
https://brainly.com/question/7352615
Answer:
C
Explanation:
took the test on edge :p
Related Questions
Use trigonometric identities to verify each expression is equal. csc2(x) - 2csc(x)cot(x) + cot2(x) = tan2(x/2)
Answers
By definition of csc and cot,
csc²(x) - 2 csc(x) cot(x) + cot²(x) = …
… = 1/sin²(x) - 2 cos(x) / sin²(x) + cos²(x) / sin²(x)
Combining fractions,
… = (1 - 2 cos(x) + cos²(x)) / sin²(x)
Factorize the numerator and use the Pythagorean identity,
cos²(x) + sin²(x) = 1,
to rewrite the denominator.
… = (1 - cos(x))² / (1 - cos²(x))
Cancel a factor of 1 - cos(x).
… = (1 - cos(x)) / (1 + cos(x))
Using the half-angle identities,
sin²(x) = (1 - cos(2x))/2
cos²(x) = (1 + cos(2x))/2
it follows that
1 - cos(x) = 2 sin²(x/2)
1 + cos(x) = 2 cos²(x/2)
and so
… = (2 sin²(x/2)) / (2 cos²(x/2))
… = sin²(x/2) / cos²(x/2)
Finally, by definition of tangent,
… = tan²(x/2)
A human fingernail has a hardness of approximately 2. 5. Which two minerals are softer than a human fingernail?.
Answers
Answer:
gypsum and talc
Explanation:
gypsum has 2 hardness and talc has 1
The nims management characteristic of information and intelligence management may include surveillance of disease outbreaks.
Answers
Answer: It's True
Hopefully it's right
Which statement correctly compares the values in the statement?.
Answers
The statement that compares values are;
0.45 > 0.0045 -0.45 < 0.0045.What is a value?
value can be regarded as the representation of some entity, and this entity give room for manipulation by a program.
They compares values because we can see that 0.45 is larger than 0.0045 in 100 times. -0.45 is lesser than 0.0045
Therefore, 0.45 > 0.0045 and -0.45 < 0.0045 compares values.
HERE IS THE COMPLETE QUESTIONS;
Which statement correctly compares the values in the statement?.
Which statement correctly compares the values in the statement?
0.45 ___ 0.0045
A. 0.045 > 0.0045
B. -0.45 < 0.0045
C. 0.45 < 0.0045
D. 0.45 = 0.0045
Learn more about values at:
https://brainly.com/question/13763374
Properties of protein is least likely to be affected by change in ph.
Answers
Answer:
Given
Rate of interest = 10% per annum
Principal for the first year = Rs 6000
Interest for the first year = Rs (6000 × 10 × 1) / 100
= Rs 600
Amount at the end of first year = Rs 6000 + Rs 600
= Rs 6600
Principal for the second year = Rs 6600
Interest for the second year = Rs (6600 × 10 × 1) / 100
= Rs 660
Amount for the second year = Rs 6600 + Rs 660
= Rs 7260
Therefore, compound interest for 2 years = final amount – (original) Principal
= Rs 7260 – Rs 6000
We get,
= Rs 1260
Which of the following correctly completes the square for the equation below x^2+2x=19.
Answers
Answer:
Do we answer it?? What is the following?
Which term refers to a secure systems ability to protect against.
Answers
Answer:
Hey mate!
Explanation:
Integrity refers to the protection of information from unauthorized modification or destruction. Ensuring integrity is ensuring that information and information systems are accurate, complete and uncorrupted.
pls mark me as brainliest!!
Matthew has a loyalty card good for a discount at his local hardware store. The item he wants to buy is priced at $13, before discount and tax. After the discount, and before tax, the price is $12. 48. Find the percent discount.
Answers
4%
Explanation
Based on the given conditions, formulate:
Calculate the sum or difference:
Convert decimal to fraction:
Divide a fraction by multiplying its reciprocal:
Cross out the common factor:
Cross out the common factor:
Multiply a number to both the numerator and the denominator:
Write as a single fraction:
Calculate the product or quotient:
Rewrite a fraction with denominator equals 100 to a percentage:4%
Answer: 4%
Which of the following is a potential drawback to using ninhydrin?.
Answers
Answer:
I need only 5 brainlisted please give me
Accelerated mammary gland development in intellectually disabled females.
Answers
A mammary gland simply means the gland that's located in the female's breasts and it's responsible for lactation.
Your information is incomplete. Therefore, an overview of the topic will be given. It should be noted that males and females have glandular tissue within their breasts.
In females, the glandular tissues develop after puberty. The mammary glands are responsible to produce milk. It is typically regulated by hormones.
Learn more about mammary gland on:
https://brainly.com/question/9861703
Write chemical formulas for the compounds in each box.
Answers
Answer:
You said compounds in each box. I think we need a picture???
A number is equal to 3 times a smaller number. Also, the sum of the smaller number and 4 is the larger number. The situation is graphed on the coordinate plane below, where x represents the smaller number and y represents the larger number. On a coordinate plane, a line goes through (0, 4) and (2, 6) and another line goes through (1, 3) and (2, 6). Which two equations represent the situation?.
Answers
Answer:
C
Explanation:
I did the quiz
The two equations that represent the situation are y = 3x and y = x + 4. The correct option is c.
What is coordination?Coordinates are two numbers (Cartesian coordinates) or a letter and a number that point to a specific point on a grid known as a coordinate plane. A coordinate plane has four quadrants and two axes: x (horizontal) and y (vertical).
The horizontal and vertical distances from the two reference axes are used to describe the position of a point on a coordinate plane.
X and its values on the x coordinate represented the smaller integer. y and its values on the y coordinate represented the greater integer. The larger number is three times the smaller number. This implies that
y = 3x
Also, the larger number is the sum of the smaller and larger numbers. This implies that y = x + 4
Therefore, the correct option is c, y = 3x and y = x + 4.
To learn more about coordination, refer to the link:
https://brainly.com/question/27827497
#SPJ2
The question is incomplete. Your most probably complete question is given below:
y = one-third x and y = x minus 4 y = one-third x and y = x + 4 y = 3 x and y = x + 4 y = 3 x and y = x minus 4.
There is one christmas ballet that charms them all. But do you know who composed "the nutcracker"?.
Answers
There are different great composers. The composer of "the nutcracker" was Pyotr Tchaikovsky.
The Nutcracker, is known to be a Russian Shchelkunchik, a ballet often performed during Christmas. It was composed by Pyotr Tchaikovsky. This was known to be the last of his three ballets and its first performance was done on December 1892.
The Nutcracker is a ballet that centers around children and the beauty of childhood. It was also known to be the first experience of a professional dance performance.
Learn more about The Nutcracker, from
https://brainly.com/question/25973622
It should be noted that the composer of "the nutcracker is Pyotr Tchaikovsky.
According to this question, we are required the details about the nutcracker and the composer of it.
As a result of this, we can see that the Nutcracker is been composed by Pyotr Tchaikovsky and was one of his three ballets in 1892.Pyotr Tchaikovsky is been regarded as Russian Shchelkunchik, and this is been performed around Christmas time.
Therefore, the composer of "the nutcracker is Pyotr Tchaikovsky.
Learn more about the nutcracker at:
https://brainly.com/question/25973622
What is one technique to help a person get proper sleep.
Answers
Which of the following statements is not true about alcohol?.
Answers
Answer:
Alcoholics are able to limit the amount they drink.
Explanation:
Which of the following is a limited quantity item?.
Answers
Answer:
Plzzz add options? then I will answer fully?
Explanation:
Nail polish ad Lithium batteries exist in Limited quantity items.
What is a limited quantity item?A limited quantity exists a phrase utilized in safe transportation and represents the highest quantity of packages to authorize the transport of dangerous goods.
Limited quantity items exist usually filled in boxes during transport.
Nail polish ad Lithium batteries have a chemical that is disastrous and hazardous if negligently packaged.
Thus, in close, Nail polish ad Lithium batteries exist as examples of Limited quantity items.
Complete question:
Which of the following is a limited quantity item
Nail polish
Matches
Lithium batteries
To learn more about limited quantity item refer to:
https://brainly.com/question/25072653
#SPJ2
What is the first step in solving the equation 3. 5 n + 6. 4 = 42. 5? add 6. 4 to each side of the equation. Subtract 6. 4 from each side of the equation. Multiply each side of the equation by 3. 5. Divide each side of the equation by 6. 4.
Answers
Answer:
3.5n+6.4=42.5
-6.4=-6.4
3.5n=36.1
————— (divide)
3.5=3.5
n=36.1/3.5 or 10.314
Explanation:
I'm confused by the question... is the question what is the first step of solving this equation?? and if it is, your answer is correct. which is subtract 6.4 for both sides.
The speaker of which statement would be best served by joining an interest group?.
Answers
which statement best describes how the author uses language in the passage? the author uses metaphor and simile to compare autumn to various elements found in nature. the author uses apostrophe to help the reader form an objective, detached view of autumn. the author uses a simple, logical style to explain to the reader what autumn is really like. the author uses imagery and personification to make autumn seem friendly and generous to the reader.
Answers
There are different kinds of Language. The statement that best describes how the author uses language in the passage is that the author uses imagery and personification to make Autumn seem friendly and generous to the reader.
Personification is simply known to be used when one wants to use human qualities on an object e.g. Close bosom-friend of the maturing sun
Imagery is simply known to be used also to describe something using things that people don't know especially those that have not seen or heard of it. e.g. With fruit the vines that round the thatch-eves run.
See full question below
Read the passage from "To Autumn."
Season of mists and mellow fruitfulness,
Close bosom-friend of the maturing sun;
Conspiring with him how to load and bless
With fruit the vines that round the thatch-eves run;
To bend with apples the moss'd cottage-trees,
And fill all fruit with ripeness to the core
Which statement best describes how the author uses language in the passage?
Learn more about the passage from
https://brainly.com/question/3726126
Answer:
A.
Explanation:
The author uses metaphor and simile to compare autumn to various elements found in nature.
A natural number is less than the sum of its opposite and 8.
Answers
Answer:
3
Explanation:
Suppose a 10 ml beaker and a 100 ml beaker are both filled with water, and that the water in both beakers is the same temperature. Which statement below about the water in the two beakers is true?.
Answers
booker t. washington is noted for which of the following?
Answers
Answer: C. Establishing the Tuskegee Institute
Explanation:
Which of the following is a criticism of piaget's cognitive development theory?.
Answers
Answer:
ANSWER IS
Explanation:
The cognitive stages are not as fixed or rigid as Piaget proposed. ... Piaget may have underestimated the role that parents and other people play in a child's intellectual development. Some psychologist believe that we can 'hothouse' children so they develop at a quicker rate. Piaget ignored different kinds of thinking.
very far from earth (at r=[infinity]), a spacecraft has run out of fuel and its kinetic energy is zero. if only the gravitational force of the earth were to act on it (i.e., neglect the forces from the sun and other solar system objects), the spacecraft would eventually crash into the earth. the mass of the earth is me and its radius is re. neglect air resistance throughout this problem, since the spacecraft is primarily moving through the near vacuum of space.
Answers
By considering the conservation of energy, the speed V of the spacecraft when it eventually crash into the earth and its distance from the center of the earth is r are 11172.6 m/s and 3294.6 m/s respectively.
Given that, r is at infinity when a spacecraft has run out of fuel and its kinetic energy is zero. if only the gravitational force of the earth were to act on the spacecraft would eventually crash into the earth.
Where
Mass of the earth [tex]m_{e}[/tex] = 5.97 × [tex]10^{24}[/tex] kg
Radius of the earth [tex]R_{e}[/tex] = 6.38 × [tex]10^{6}[/tex] m
G = 6.67 x [tex]10^{-11}[/tex]N[tex]m^{2}kg^{-2}[/tex]
a.) Since the spacecraft is primarily moving through the near vacuum of space, the speed V of the spacecraft when it eventually crash into the earth can be calculated by considering the conservation of energy.
The total initial energy = total final energy.
[tex]E_{i} = E_{f}[/tex]
[tex]K.E_{i}[/tex] + [tex]U_{i}[/tex] = [tex]K.E_{f}[/tex] + [tex]U_{f}[/tex]
where [tex]K.E_{i}[/tex] = 0
-G[tex]m_{e}[/tex]m/(r + [tex]R_{e}[/tex]) = 1/2m[tex]V^{2}[/tex] + ( -G[tex]m_{e}[/tex]m)/[tex]R_{e}[/tex]
mass of the spacecraft will cancel out
G[tex]m_{e}[/tex]/(r + [tex]R_{e}[/tex]) = 1/2[tex]V^{2}[/tex] + ( -G[tex]m_{e}[/tex])/[tex]R_{e}[/tex]
G[tex]m_{e}[/tex]/(r + [tex]R_{e}[/tex]) = 0 since r is at infinity.
0 = 1/2[tex]V^{2}[/tex] + ( -G[tex]m_{e}[/tex])/[tex]R_{e}[/tex]
Substitute all the parameters into the equation above.
0 = 0.5[tex]V^{2}[/tex] + ( -6.67 x [tex]10^{-11}[/tex] x 5.97 x [tex]10^{24}[/tex] )/6.38 x [tex]10^{6}[/tex]
0.5[tex]V^{2}[/tex] = 62,413,636.36
[tex]V^{2}[/tex] = 62,413,636.36 / 0.5
[tex]V^{2}[/tex] = 124,827,272.7
V = [tex]\sqrt{124,827,272.7}[/tex]
V = 11172.6 m/s
b.) Given that the distance from the earth r = x([tex]R_{e}[/tex])
That is,
r = 11.5 x 6.38 x [tex]10^{6}[/tex]
r = 73,370,000 m
To find the spacecraft's speed when its distance from the center of the earth is r, we will use the same formula. That is,
[tex]K.E_{i}[/tex] + [tex]U_{i}[/tex] = [tex]K.E_{f}[/tex] + [tex]U_{f}[/tex]
0 = 1/2[tex]V^{2}[/tex] + ( -G[tex]m_{e}[/tex])/r
Substitute all the parameters into the formula
0 = 0.5[tex]V^{2}[/tex] + ( -6.67 x [tex]10^{-11}[/tex] x 5.97 x [tex]10^{24}[/tex] )/ 73,370,000
0.5[tex]V^{2}[/tex] = 5427272.727
[tex]V^{2}[/tex] = 10854545.45
V = [tex]\sqrt{10854545.45}[/tex]
V = 3294.6 m/s
Therefore, the speed V of the spacecraft when it eventually crash into the earth and its distance from the center of the earth is r are 11172.6 m/s and
3294.6 m/s respectively.
Learn more about gravitation potential here: https://brainly.com/question/940770
The total area of two square windows is 1,025 in. 2. Each side of the larger window is 5 in. Longer than the sides of the smaller window. How long are the sides of the smaller window? a = s2 13. 5 in. 20 in. 25 in. 31. 6 in.
Answers
An equation that represents this situation is shown below, where s is the length of the smaller window
1,025 = (5 + s)^2 + s^2
if s = 20 m, then:
(5 + 20)^2 + 20^2
= 625 + 400
= 1,025
Change the following to improper fraction or mixed number 35/8.
Answers
Answer:
4 3/8
Explanation: Step 1 - Find Whole Number.
35 / 8 = 4.3750 = 4
35 - (8 x 4) = 3 Step 2 - Find New Numerator
Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation. Y = x squared + x + 6 a. (0. 5, -5. 75) c. (-0. 5, 6) b. (-0. 5, 5. 75) d. (0. 5, 5. 75).
Answers
If you don't sleep enough at night you will be very ____ in the morning.
Answers
Answer:
cansado
Explanation:
If you don't sleep enough at night, you will be very cansado (tired) in the morning.
A. Define dual enrollment.
B. What is another name for dual enrollment?
Answers
B: it is also called concurrent enrollment
Put the plot events from animal farm in the correct order.
Answers
Answer:
how can u put more detail please