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.

Question

fionacndg · Answer

Please help by explaining why they can both be correct, I need some help...

jim_thompson5910 · Answer

what does "average rate of change" mean?

fionacndg · Answer

Well its the change in the value of a quantity divided by the time @jim_thompson5910

jim_thompson5910 · Answer

in this specific case, it means "change in y over change in x"

so that's the same as the slope

fionacndg · Answer

yea

fionacndg · Answer

just dont understand how they are both correct.

jim_thompson5910 · Answer

so is it possible to have line with a slope of 0 go through those two points

and

have the curve turn around somewhere in between

fionacndg · Answer

Ohhh, so If i graph it it will look similar but a little different?

jim_thompson5910 · Answer

can you draw out what one case may be?

fionacndg · Answer

Yes, just a second... I will try, I am slow with math

jim_thompson5910 · Answer

there's no rush

fionacndg · Answer

|dw:1419295095990:dw|

Would it look like this??? I am pretty confused

jim_thompson5910 · Answer

|dw:1419295379600:dw|

jim_thompson5910 · Answer

|dw:1419295392424:dw|