Constant of Variation Answers

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1
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For the function defined by , y varies inversely as what quantity? a. x c. y b. 2x d. Please select the best answer from the choices provided

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A
A
B
B
C
C
D
D
2
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From the graph shown below, what happens to the y- values as the x- values increase infinitely in the positive direction or decreases infinitely in the negative direction?

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A
They increase
B
They decrease, approaching zero
C
They stay the same
D
cannot be determined
3

State the relationship between the graphs of f(x) and g(x).

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A
f and g are reflections of each other about the y-axis.
B
f and g are reflections of each other about the x-axis.
C
g is shifted to the left 5 units relative to f, otherwise they are the same.
D
g is shifted to the right 5 units relative to f, otherwise they are the same.
4

Given that and What is the domain of the functions f and g?

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A
only positive integers
B
All non zero real numbers.
C
only negative integers
D
All real numbers including zero
5

For the function defined by , What is the constant of proportionality?

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A
120
B
undefined
C
12
D
1200
6

State the relationship between the graphs of f(x) and g(x).

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A
g is closer to the y-axis, and f is closer to the x-axis.
B
g is symmetric about the y-axis, and f is symmetric about the origin.
C
g is symmetric about the y-axis, and f is symmetric about the x-axis.
D
g is closer to the x-axis, and f is closer to the y-axis.
7

Find the y-intercepts of the graph ?

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A
There are no y-intercepts
B
y-intercept is (0, 1)
C
y- intercept is (0, 2)
D
y-intercept is (0, 3)
8

State the relationship between the graphs of f(x) and g(x).

Question illustration
A
f and g are reflections of each other about the line y = x
B
f and g are reflections of each other about the x-axis.
C
g is shifted to the left 4 units relative to f, otherwise they are the same.
D
g is shifted to the right 4 units relative to f, otherwise they are the same.
9

Which is the correct graph of ? a. c. b. d. Please select the best answer from the choices provided

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A
A
B
B
C
C
D
D
10

Does the function shown in the graph below have a maximum y-value or a minimum y-value?

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Answer not available

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