Constant of Variation Answers

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Explain why no part of the graph appears below the x-axis?

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A
The y-value is always negative
B
The y-value is always positive
C
The y-value is always zero
D
The y-value is always 10
2
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Find the y-intercepts of the graph ?

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

In the expression , what is k?

Question illustration
A
inverse variation
B
direct variation
C
constant of variation
D
the solution
4

From the graph shown below, what happens to the y- values as the negative x- values get closer to zero?

Question illustration
A
They increase
B
They decrease
C
They stay the same
D
cannot be determined from the graph
5

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

Question illustration
A
Cannot be determined
B
Yes, maximum value is 5 and minimum value is 0
C
No
D
Yes, maximum value is 100 and minimum value is -100
6

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
g is shifted to the left 3 units relative to f, otherwise they are the same.
C
f and g are reflections of each other about the x-axis.
D
g is shifted to the right 3 units relative to f, otherwise they are the same.
7

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

Question illustration
A
120
B
undefined
C
12
D
1200
8

Using the patterns of inverse variation, complete the following table if y is inversely proportional to the cube of x:x0.5126y648?0.037

A
1
B
2
C
4
D
8
9

Given that , What is the value of f(x) when x = 2?

Question illustration
A
2.5
B
2
C
1
D
0.5
10

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

Question illustration
A
g is closer to the x-axis, and f is closer to the y-axis.
B
g is symmetric about the y-axis, and f is symmetric about the x-axis.
C
g is closer to the y-axis, and f is closer to the x-axis.
D
g is symmetric about the y-axis, and f is symmetric about the origin.
11

From the graph shown below, what happens to the y- values as the positive x- values get closer to zero?

Question illustration
A
They increase
B
They decrease
C
They stay the same
D
cannot be determined
12

For the function defined by , if x is doubled, what is the effect on y?

Question illustration
A
y is quartered
B
y is doubled
C
y stays the same
D
y is tripled
13

Find the x-intercepts of the graph ?

Question illustration
A
(2, 0) and (-2,0)
B
(-1,0) and (1, 0)
C
There are no x-intercepts
D
x-intercept is (3, 0)
14

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

Question illustration
A
A
B
B
C
C
D
D
15

From the graph shown below, what happens to the y- values as the positive x- values get closer to zero?

Question illustration
A
They increase
B
They decrease
C
They stay the same
D
cannot be determined
16

What does the graph of an inverse variation look like?

A
sloping below the x-axis
B
sloping negatively
C
sloping positively
D
horizontal line
17

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

Question illustration
A
A
B
B
C
C
D
D

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