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?

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

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