Thank you for the opportunity to help you with your question!
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
find the value of x by equating the equation to zero
take -18 to the other side of the equation so that the equation becomes
divide by -6 on both side to have the value of x
to know if the function is a max or min.you find the second derivative
Please let me know if you need any clarification. I'm always happy to answer your questions.
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
there the maximum value= 2
kindly accept the correction.If you need more clarifications kindly feel free to ask.kind regards
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