Quiz about Algebra Comparing Functions

Question 1

Function A is represented by the equation y = 4x - 2. Function B is represented by the table.
Which of these functions has the greater rate of change?

Accepted Answer

Function A. It's rate of change is 4.

Answer

Function A. It's rate of change is -2.

Answer

Function B. It's rate of change is 2.

Answer

Function B. It's rate of change is 6.

Question 2

Janet is planning her sweet sixteen birthday party. She must decide which party coordinator she should use so that she spends the least amount of money possible. Each coordinator charges an initial fee for their services, plus an additional fee depending on the number of guests that attend the party. Each coordinator's rates are shown in the image. Which coordinator charges the greatest fee per guest?

Accepted Answer

Coordinator D

Answer

Coordinator A

Answer

Coordinator B

Answer

Coordinator C

Question 3

Which function has a greater rate of change than the function A in the table?

Accepted Answer

$$\ y=\frac{3}{5}x-5$$

Answer

$$y=\frac{3}{7}x+2$$

Answer

$$y=1+\frac{1}{2}x$$

Answer

$$y=-1+\frac{1}{4}x$$

Question 4

Question 4.

Accepted Answer

H

Answer

F

Answer

G

Answer

J

Question 5

Question 5.

Accepted Answer

A

Accepted Answer

D

Accepted Answer

E

Answer

B

Answer

C

Question 6

The graph of f(x) = x² is shown on the grid. Which statement about the relationship between the graph of f and teh graph of g(x) = 7x² is true?

Accepted Answer

The graph of g is narrower than the graph of f.

Answer

The graph of g is wider than the graph of f.

Answer

The graph of g is 7 units below the graph of f.

Answer

The graph of g is 7 units above the graph of f.

Question 7

Which statement compares the graphs of f(x) and g(x) over the interval [0, 5]?

Accepted Answer

The graph of f(x) exceeds the graph of g(x) over the interval [0, 4], the graphs intersect at a point between 4 and 5, and then the graph of g(x) exceeds the graph of f(x).

Answer

The graph of f(x) always exceeds the graph of g(x) over the interval [0, 5].

Answer

The graph of g(x) always exceeds the graph of f(x) over the interval [0, 5].

Answer

The graph of g(x) exceeds the graph of f(x) over the interval [0, 4], the graphs intersect at a point between 4 and 5, and then the graph of f(x) exceeds the graph of g(x).

Question 8

Given the linear functions $$y = 10x + 2$$ and $$y = 10x - 8$$ , how do their y-intercepts compare?

Accepted Answer

The first function has a higher y-intercept

Answer

The second function has a higher y-intercept

Answer

Both functions have the same y-intercept

Answer

The y-intercepts are negative

Question 9

Compare the slopes of the following functions: $$y = -\frac{1}{3}x + 5$$ and $$y = \frac{1}{4}x - 2$$ .

Accepted Answer

The slope of the second function is greater

Answer

The slope of the first function is greater

Answer

Both slopes are equal

Answer

The slopes are equal in magnitude but opposite in sign

Question 10

Given two functions $$f(x) = 3x + 5$$ and $$g(x) = 3x - 2$$ , which function has a higher y-intercept?

Accepted Answer

$$f(x)$$

Answer

$$g(x)$$

Answer

Both have the same y-intercept

Answer

Cannot determine from the given information

Question 11

Which function has a greater y-intercept, given the equations $$y = 5x + 12$$ or $$y = 5x + 3$$ ?

Accepted Answer

$$y = 5x + 12$$

Answer

$$y = 5x + 3$$

Answer

Both have the same y-intercept

Answer

Cannot determine from the given information

Question 12

Question 12.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 13

Compare the slopes of $$y = -4x + 1$$ and $$y = 4x - 1$$ .

Accepted Answer

The slopes are equal in magnitude but opposite in sign

Answer

The slope of the first equation is greater

Answer

The slope of the second equation is greater

Answer

Both slopes are equal

Question 14

Is this a Function?

Accepted Answer

No

Answer

Yes

Question 15

Is this a function?

Accepted Answer

Yes

Answer

No

Question 16

If red represents $$y=x^2$$ , which equation represents blue?

Accepted Answer

$$y=-x^2$$

Answer

$$y=2x^2$$

Answer

$$y=-2x^2$$

Answer

$$y=(x-1)^2$$

Question 17

Is this a function or not?

Accepted Answer

Not a Function

Answer

Function

Algebra Comparing Functions

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