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:

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

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