Find the average rate of change of g(x)= – x2 over the interval [ – 8, – 2]. Write your answer as an integer, fraction, or decimal rounded to the nearest tenth. Simplify any fractions.

Step-by-step explanation:

Given

Required

Determine the average rate of change;

Average rate of change is calculated as thus;

Where

i.e. a = -8 and b = -2

becomes

Calculating g(-2)

Substitute -2 for x in

Calculating g(-8)

Substitute -8 for x in

Substitute values for g(-2) and g(-8)

Hence, the average rate of change is 10

it has the same slope and a different y-intercept

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