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.

consider an example  .

Step-by-step explanation:

hunter says that for a function between x=  -2 and x=2, the average rate of change is 0.

the average rate of a change of a function between the points a and b is given by:

for it to be equal to zero we have f(a)=f(b).

hence according to Hunter f(-2)=f(2).

Now maggie says that for the function between x=-2 and x=2 the graph goes up through a turning point and back down.

for both of them to be correct we can consider the example .

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what is the image?