christianrettig christianrettig
  • 08-06-2017
  • Mathematics
contestada

Over which interval is the graph of f(x) = –x2 + 3x + 8 increasing? (–∞, 1.5) (–∞, 10.25) (1.5, ∞) (10.25, ∞)

Respuesta :

Аноним Аноним
  • 09-08-2017
f(x) = -x^2 + 3x + 8
f'(x) = -2x + 3

when f(x) is increasing f'(x)  > 0

-2x + 3 > 0

-2x > -3

x < 3/2 or 1.5

So the required interval is (-infinity,1.5).The first choice.

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isabellemcfaddor439x
isabellemcfaddor439x isabellemcfaddor439x
  • 10-08-2017
The answer is A (-infinity, 1.5)
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