Constant of Variation Answers

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1
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Find the x-intercepts of the graph ?

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

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

Question illustration
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
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
6

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
9

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)
10

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)
11

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.
12

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.
13

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

Question illustration
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
15

Given that , What is the domain of the function f ?

Question illustration
A
only positive integers
B
All non zero real numbers.
C
only negative integers
D
All real numbers including zero
17

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
19

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.
20

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

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