Question

Two students in your class, Hunter and Maggie, are disputing a function. Hunter says that for the function, between x = -2 and x = 2, the average rate of change is 0. Maggie says that for the function, between x = -2 and x = 2, the graph goes up through a turning point, and then back down. Explain how Hunter and Maggie can both be correct, using complete sentences.

Answer 1

Hunter see a line slope is 0
Maggie sees a parabola that has a turning point when the slope is 0,
slope is the change in y / corresponding change in x for a point (x,y)