Question

Which of these graphs do not represent constant rates of change? Check all that apply.

On a coordinate plane, a parabola opens up.
On a coordinate plane, a line has a negative slope.
On a coordinate plane, a line has a positive slope.
On a coordinate plane, a line is constant and then curves rapidly up.

Answer 1

Select the parabola that opens up and the graph that is flat then curves up.

Reason: a constant rate of change means the graph is a straight line (slope is constant). The parabola has a changing slope, and the piece that is constant then curves up is not a single straight line, so neither has a constant rate of change. The straight lines with positive or negative slope do represent constant rates.