Mathematics
Polynomials, Rational Expressions, Equations and functions #3

Question Description

I need help with a Algebra question. All explanations and answers will be used to help me learn.

Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point.


 f(x) = -x2 - 2x - 6


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Final Answer

for critical point

-2x-2 =0

x = 2/-2

x = -1

now for maximum or minimum  value, we take dervative of -2x-2

=-2

as second derivative is less than zero, so at x=-1 lies a maximum point at

x = -1 , y = -5

function has maximum value at (-1,-5)

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