usswingdancer usswingdancer
  • 17-04-2017
  • Mathematics
contestada

over which interval is the graph x^2+3x+8 increasing

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ItaUc
ItaUc ItaUc
  • 18-04-2017
f(x) = x^2+3x+8

now, the pending of the tangent line is d/dx f(x)
f'(x) = 2x + 3
now, we need know when the pending is increasing.
so
2x + 3> 0

solving
x>-3/2

The interval over which the function f(x)= x^2+3x+8 is increasing is (-3/2,+∞)
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