Question

1. Which statement best explains whether the data in the following table represents a linear or nonlinear function?

x y
−4 4
−1 2.5
0 2
4 4
The table represents a nonlinear function because the graph shows a rate of change that is decreasing.

The table represents a linear function because the graph shows a rate of change that is increasing.

The table represents a nonlinear function because the graph does not show a constant rate of change.

The table represents a linear function because the graph shows a constant rate of change.


Question 2 (Worth 2 points)
(Linear Functions MC)

Which of the following tables represents a linear function?



x −2 −1 0 1 2
y 5 2 1 2 5


x −2 −1 0 1 2
y 5 3 1 −1 −3


x 3 3 0 3 3
y −2 −1 0 1 2


x 0 1 2 3 4
y 0 −1 2 −3 4

Question 3 (Worth 2 points)
(Linear Functions LC)

Which of the following graphs represents a linear function?

coordinate plane with a graph drawn that passes through the points 2 comma negative 2 and 2 comma negative 1 and 2 comma 0

coordinate plane with a graph drawn that passes through the points negative 1 comma 0 and 0 comma negative 2 and 1 comma negative 4

coordinate plane with a graph that passes through the points negative 2 comma 0 and 0 comma negative 4 and 2 comma 0

coordinate plane with a graph that passes through the points negative 3 comma 0 and 0 comma negative 3 and 3 comma 0 and 0 comma 3



Question 4 (Worth 2 points)
(Linear Functions MC)

Which statement best explains whether the following graph represents a linear or nonlinear function?

coordinate plane with a graph that passes through the points negative 3 comma 0 and negative 1 comma 4 and 1 comma 4 and 3 comma 0

The graph represents a nonlinear function because there is a constant rate of change.

The graph represents a nonlinear function because the rate of change is not constant.

The graph represents a linear function because there is a constant rate of change.

The graph represents a linear function because the rate of change is not constant.



Question 5 (Worth 2 points)
(Linear Functions MC)

Which statement best explains whether the following table represents a linear or nonlinear function?


x −2 −1 0 1 2
y 4 2 0 2 4
The table represents a nonlinear function because there is not a constant rate of change in the input values.

The table represents a nonlinear function because there is not a constant rate of change in the output values.

The table represents a linear function because there is a constant rate of change in the input and output values.

The table represents a linear function because there is not a constant rate of change in the input and output values.


Question 6 (Worth 2 points)
(Linear Functions LC)

Which of the following equations represents a linear function?

2x − 4 = 6

x = −2

y equals one half times x squared

y equals two thirds times x plus 4



Question 7 (Worth 2 points)
(Linear Functions MC)

Which statement best explains whether the equation y equals one half times x minus 2 represents a linear or nonlinear function?

The equation represents a nonlinear function because it has an independent and a dependent variable, each with an exponent of 1.

The equation represents a nonlinear function because its graph contains the points (−1, −2), (0, 0), and (1, 2), which are not on a straight line.

The equation represents a linear function because it has an independent and a dependent variable, each with an exponent of 1.

The equation represents a linear function because its graph contains the points (−1, −2), (0, 0), and (1, 2), which are on a straight line.

Answer 1

Explanation:

1. The table represents a nonlinear function because the graph does not show a constant rate of change.

2. x -2 -1 0 1 2, y 5 2 1 2 5 represents a linear function.

3. The coordinate plane with a graph drawn that passes through the points negative 2 comma 0 and 0 comma negative 4 and 2 comma 0 represents a linear function.

4. The graph represents a nonlinear function because the rate of change is not constant.

5. The table represents a linear function because there is a constant rate of change in the input and output values.

6. y equals two thirds times x plus 4 represents a linear function.

7. The equation represents a linear function because its graph contains the points (−1, −2), (0, 0), and (1, 2), which are on a straight line.