Question

Question 3(Multiple Choice 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 4(Multiple Choice 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(Multiple Choice Worth 2 points)
(Linear Functions MC)

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 0
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 6(Multiple Choice Worth 2 points)
(Linear Functions MC)

Which statement best explains whether the equation y = 3x2 represents a linear or nonlinear function?

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, 3), (0, 0), and (1, 3), which are on a straight line.
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, 3), (0, 0), and (1, 3), which are not on a straight line.

Question 7(Multiple Choice 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

Answer 1

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

Step-by-step explanation:

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

A linear function has a constant rate of change, meaning that the change in the output values (y) for each unit increase in the input values (x) remains the same.

In the given table, the output values increase by 2 for each unit increase in the input values, indicating a constant rate of change.