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23 February, 14:14

The function f (x) = - 5x2 + 3 is

defined over the domain

-4 < x < - 1. Find the range of

this function.

.

A. - 77 < f (x) < - 2

B. 8 < f (x) < 83

C. 8 < f (x) < 23

D. 8 < f (x) < 83

.

.

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Answers (1)
  1. 23 February, 14:41
    0
    A. - 77 < f (x) < - 2

    Step-by-step explanation:

    - 4 < x < - 1 so : (-1) ² < x² < (-4) ² because f is decrasing if - 4 < x < - 1

    1< x² < 16 ... now multiply by : - 5

    -80 < - 5x² < - 5 add 3 you have : - 77< - 5x²+3 < - 2

    -77 < f (x) < - 2
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