## anonymous one year ago Two students in your class, Tucker and Karly, are disputing a function. Tucker says that for the function, between x = -3 and x = 3, the average rate of change is 0. Karly says that for the function, between x = -3 and x = 3, the graph goes up through a turning point, and then back down. Explain how Tucker and Karly can both be correct, using complete sentences. @iambatman

1. anonymous

@Ashleyisakitty

2. anonymous

Can anyone help me?

3. anonymous

$avg~~ROC=\frac{ f(3)-f(-3) }{ 3-(-3) }$ For the average rate of change to be 0, f(3) and f(-3) would have to be the same. If the function is continuous, that can only happen if there is a turning point (maximum or minimum) between -3 and 3.|dw:1434415830889:dw|

4. anonymous

Thanks that makes a little more sense