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 .

-14 is the answer

hope this : ))

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.