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. LAST QUESTION I NEED HELP WITH I WILL FAN AND GIVE MEDAL!!

Question

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.  LAST QUESTION I NEED HELP WITH I WILL FAN AND GIVE MEDAL!!

jonnyvonny · Answer

Well, when you use the formula to find the rate of change, which is (y2-y1)/(x2-x1), so long as the 2 y-values are the same, it will result in 0/(x2-x1). So, regardless of what is in the denominator, the answer will always result in 0.

jonnyvonny · Answer

To further elaborate, the function would look like this:|dw:1412894317708:dw|

anonymous · Answer

So Thats How Tucker Is Correct @JonnyVonny

anonymous · Answer

@JonnyVonny How Is The Girl Correct?

jonnyvonny · Answer

Well, the graph will look like the one above. The girls is right because the graph would look like the one above, and it will have an average rate of change of zero. Want more elaboration?

anonymous · Answer

yes please

jonnyvonny · Answer

Its only because the graph at x=-3 and x=3, that the y values are the same. Because they are the same, the average rate of change is 0.

anonymous · Answer

i want it explain were i wont have to touch it up so much

anonymous · Answer

ok thanks