Answer the questions below about the quadratic function.

Tutor: None Selected Time limit: 1 Day

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

Thank you for the opportunity to help you with your question!

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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