a. Find the open interval(s) on which the function is increasing and decreasing.

b. Identify the function's local and absolute extreme values, if any, saying where they occur.

f(x)=x²-50x²+625

O D. There are no local maxima.

Question 17 of 20 >

Find each local minimum, if there are any. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.

(Type integers or simplified fractions.)

O A. The function has a local minimum value at one value of x. The minimum value is f

at x =

C

=

OB. The function has a local minimum value at two values of x. In increasing order of x-value, the minimum values are

OC. The function has a local minimum value at three values of x. In increasing order of x-value, the minimum values are

O D. There are no local minima.

at x =

This test: 20 point(s) possible

This question: 1 point(s) possible

at x =

and f

f(1) = f(1) =, and f(1) =

If the function has extreme values, which of the extreme values, if any, are absolute? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.

(Type integers or simplified fractions. Use a comma to separate answers as needed.)

but no absolute minimum.

O A. The function has an absolute maximum value of

OB. The function has an absolute maximum value of

and an absolute minimum of

OC. The function has no absolute maximum, but there is an absolute minimum value of at x =

O D. There are local extreme values but there are no absolute extreme values.

O E. There are no local or absolute extreme values.

=

=

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