a. f(x) = x^5 - 5x

Complete the following steps. Make sure each steps are CLEARLY LABELED.

A. State the domain in interval notation

B. Identify both the x-intercepts and y intercepts as ordered pairs or say they do not exist.

C. Give the equations of the any asymptotes or say if none exists (DNE).

D. Compute the first derivatives and identify its critical values or (numbers).

E. Identify all intervals in which the function is increasing or decreasing and give the coordinates of all local extrema as ordered pairs.

F. Compute the second derivatives and identify the critical values

G. Identify all intervals on which the function is concave up or concave down and give the coordinates of all inflection points as ordered pairs.

H. Use all of your information from A-G to graph the curve. Choose a resonable scale for both your x- axis and y-axis so that the key points can be clearly located. Be sure the concavity is clear. Over exaggerate if it it's necessary!

When rounding is necessary, round values to 1 decimal place.