Answer the questions below about the quadratic function.

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g(x)= -3x^2 - 18x - 25

a.) Does the funtion have a maximum or minimum value?

b.) Where does the minimum or maximum value occur?

c.) What is the functions minimum or maximum value? 

Oct 8th, 2015

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g(x)= -3x^2 - 18x - 25


To determine whether the function has a minimum or maximum point, we differentiate the function twice.

Therefore, g'(x) = -6x-18

                 g"(x) = -6

The function has a maximum point since the second derivative is negative.


The maximum point is at the point where the gradient of the function is zero, represented by the first derivative.

0 = -6x-18


x= 3

The maximum point is at the point where x=3


To obtain the maximum value, we substitute x=3 to the function:-

g(x) =-3(3^2)-18(3)-25


      = -106

The functions maximum value is -106

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 8th, 2015

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