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Critical Numbers : Find the intervals of increase and decrease.

Find the intervals of increase and decrease for

a. Increasing on x -2 and x 8 , decreasing on - 2 x 8
b. Increasing on x < -8 and x > 2, decreasing on -8 < x < 2
c. Increasing on -8 < x < 2, decreasing on x < -8 and x > 2
d. Increasing on x < -2 and x > 8, decreasing on -2 < x < 8

An equation for the tangent line to the curve at the point where x = 0 is

a. y = 9x - 1
b. y = 18x + 1
c. y = 9x + 1
d. y = 18x - 1

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Critical numbers and the intervals of increase and decrease of a function are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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