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?
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  18x25
find the first derivative of the function
g'(x)=6x18
find the value of x by equating the equation to zero
6x18=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
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+5425
=2
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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