Let f (x) = - 1/2 (x+2) ^2+5. What is the average rate of change for the quadratic function from x=-3 to x = 1? Enter your answer in the box. Show your work

Question

Mathematics

Broderick

14 November, 06:24

Let f (x) = - 1/2 (x+2) ^2+5. What is the average rate of change for the quadratic function from x=-3 to x = 1? Enter your answer in the box. Show your work

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Answers (1)

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Ali Rasmussen · Answer 1

F (x) = - 1/2 (x+2) ^2+5

x=-3

f (-3) = - 1/2 ((-3) + 2) ^2+5

=-1/2 (-1) ^2+5

=-1/2 (1) + 5

=-1/2+5

=9/2

f (3) = 9/2

x=1

f (1) = - 1/2 (1+2) ^2+5

=-1/2 (3) ^2+5

=-1/2 (9) + 5

=-9/2+5

=1/2

f (1) = 1/2