Question

The graph shown is only a small part of a larger graph. The table shows two additional points that are part of the function but are not shown on the graph.

Do either of the points prevent the function from being a linear function?

A. No, both points indicate this function is linear because the x and yvalues can be substituted into the equation y=mx+b to create a true equation.

B. Yes; Point A prevents this function from being linear because (-12, 16) would only satisfy the function if the function was exponential.

C. Yes; Point B prevents this function from being linear because (12, -16) would only satisfy a function with a variable rate of change.

D. No; both points indicate this function is linear because they both follow the pattern of the line.

Answer 1

C. Yes; Point B prevents this function from being linear because (12, -16) would only satisfy a function with a variable rate of change.

Explanation:

Point B is not on the line shown in the graph, so the function would have to be non-linear to include point B.