Answer the questions below about the quadratic function.

Algebra
Tutor: None Selected Time limit: 1 Day

Answer the questions below about the quadratic function.

f(x)= -2x^2 - 4x - 1

1.) Does the function have a minimum or maximum value?

2.) Where does the minimum or maximum value occur?

3.) What is the functions minimum or maximum value?

Oct 8th, 2015

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

(1) The function has a maximum value.

to find the maximum and minimum values of f(x), we find its derivatives.

f'(x)= -4x-4=0

-4x=4, dividing both sides by -4

x=-1

f(-1)= -2(-1)^2 - 4(-1)-1= 1 which is a maximum value. 

(2) the maximum value occur at (-1, 1)

(3) and the function's maximum value is f(x)= -2x^2 - 4x - 1 at x=-1

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

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