Answer the questions below about the quadratic function.

Algebra
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!

a)maximum

b)x=-3

c)min value= -6

NOTE:the working below is to help you understand how the value were arrived at.

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

find the first derivative of the function

g'(x)=-6x-18

find the value of x by equating the equation to zero

-6x-18=0

take -18 to the other side of the equation so that the equation becomes

-6x=18

divide by -6 on both side to have the value of x

x=-3

to know  if the function is  a max or min.you find the second derivative

g''(x)=-6


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

kindly accept my corrections on section c about the maximum or minimum value of the function.To get the maximum or minimum value of a function you substitute the value of x in the original function as follows

-3*-3^2 - (18*-3)-25

= -27- (-54)-25  when you multiply two negative value you obtain a positive value.hence

= -27+54-25

=2

there the maximum value= 2

kindly accept the correction.If you need more clarifications kindly feel free to ask.kind regards

Oct 8th, 2015

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