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Match the average rates of change of f(x) to the corresponding intervals.

Match The Average Rates Of Change Of Fx To The Corresponding Intervals class=

Sagot :

The intervals [-5,-1], [-4,-1], [-3,1],[-2,1] match with -8,-7,4,-3.

Given the value of function at x=-5 is 35, at x=-4 is 24, at x=-3 is 15,at x=-2 is 8,at x=-2 is 8,at x=-1 is 3, at x=0 is 0, at x=1 is -1.

Average rate of change of values refers to the average of differences in the values divided by the difference of values of x.

First finding the average rate of change of interval [-5,-1]

Average rate of change={f(-1)-f(-5)}/(-1+5)

=(3-35)/4

=-32/4

=-8

Finding the average rate of change of interval [-4,-1]

Average rate of change={f(-1)-f(-4)}/(-1+4)

=(3-24)/3

=-21/3

=-7

Finding the average rate of change of interval [-3,1]

Average rate of change={f(1)-f(-3)}/(-3-1)

=(-1-15)/-3-1

=-16/-4

=4

Finding the average rate of change of interval [-2,1]

Average rate of change={f(1)-f(-2)}/(1+2)

=(-1-8)/3

=-9/3

=-3

Hence the values which are to be filled in the boxes are -8,-7,4,-3.

Learn more about average at https://brainly.com/question/20118982

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