## anonymous one year ago I am VERY confused to even know how to begin to solve this problem. I need someone to walk me through this problem. Medal as always. Two students in your class, Wilson and Alexis, are disputing a function. Wilson says that for the function, between x = -1 and x = 1, the average rate of change is 0. Alexis says that for the function, between x = -1 and x = 1, the graph goes up through a turning point, and then back down. Explain how Wilson and Alexis can both be correct, using complete sentences.

1. anonymous

@ganeshie8 @Hero @Nnesha @iambatman much appreciation.

2. Nnesha

both can be wrong eh hun or nah ?

3. anonymous

Well I'm not sure, it just says explain how both of them ~could~ be correct. For this should I use my knowledge of graphing functions and translation meanings or something different?

4. Nnesha

ohh nvm i thought both x are positive hm

5. Nnesha

well if slope is zero you will draw horizontal line

6. Nnesha

do you have graph with this question or table ?

7. anonymous

No there is no graph or table.

8. Nnesha

i will use slope formula (average rate of change - slope )$\huge\rm \frac{ y_2 - y_1}{ x_2 -x_1 }$ if slope is 0 then you should get 0 at the numerator substitute x's values x=1 and x=-1

9. anonymous

10. anonymous

Alexis says that for the function, between x = -1 and x = 1, the graph goes up through a turning point, and then back down. goes up through a turning point, then back down? ?

11. Nnesha

well how would you get 0 at the numerator in order to get zero both y values should be the same like y_1 = 2 y_2 = 2 then you will get 0 $\frac{ 2-2 }{ 1-(-1) } = \frac{ 0 }{ 2}$ when slope is zero you will draw horizontal line |dw:1441304852375:dw| x values are increasing but y's is constant

12. Nnesha

so i guess he meant x values are going up y values are the same

13. Nnesha

make sense ? :D

14. anonymous

Yes, thank you very much for your time!! xx

15. Nnesha

np :=)