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

This question was on here a couple times but no one explained it well enough

Answer 2

@hba @Hailey553

Answer 3

@thomaster @wolfe8

Answer 4

@jdoe0001

Answer 5

\(\bf slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{{\color{blue}{ y_2}}-{\color{blue}{ y_1}}}{{\color{red}{ x_2}}-{\color{red}{ x_1}}}\implies \textit{rate of change}\)


recall that the slope is positive when the function goes UP from left-to-right
and decreases when when it goes DOWN from left-to-right

between the interval of -2 and 2, the 1st half ADDS UP to something, the 2nd half, will offset it equally