Question

Question 4(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 3
-1 1.5
01
4 -1
O 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.
O The table represents a nonlinear function because the graph shows a rate of change that is decreasing.
O The table represents a linear function because the graph shows a rate of change that is increasing.

Answer 1

Answer: B

Step-by-step explanation: The table represents a linear function because the graph shows a constant rate of change.

Answer 2

The statement that best explains whether the data in the following table represents a linear or nonlinear function is:

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

How to identify a Linear function?

A linear function is defined as a function that can be represented as a straight line on the coordinate plane, and it is typically in the form:

f(x) = mx + b

where:

m is slope and b is y-intercept and they are both real numbers.

The graph of a linear function is a straight line, and it has a constant rate of change. On the other hand, a nonlinear function is a function whose graph does not form a straight line but a curved line.

The table shows us that:

As x increases by 3, the rate of change of y is not constant but varies and as such this is not a linear function