finding the max or min of a quadratic function

Algebra
Tutor: None Selected Time limit: 1 Day

g(x)=-3x²+30x-71

a. does function have a minimum or a maximum value

b. what is the function's minimum or maximum value

c. where does it occur   x=

Oct 9th, 2015

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

the function has a maximum and minimum value at g' = 0

the derivative of g(x) will be

g' = 6x+ 30

a) since g' exists then the function has maximum and minimum values

b)

at maximum or minimum

g' = 0

6x + 30 = 0

6x= -30

x= -5

 g(x)=-3x²+30x-71

= 3(-5)^2 +30(-5) -71

= 75 - 150 - 71

g(x)= -146 

c. Occurs at x=-5



Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 9th, 2015

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
...
Oct 9th, 2015
...
Oct 9th, 2015
Dec 8th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer