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If a function is increasing, such as the one at right, what must be true about

  1. Explain your idea using the graph at right.

  2. Use your idea to algebraically determine where is increasing.

Continuous increasing curve, starting in the lower left, changing concavity in third quadrant, passing through the origin, changing concavity in first quadrant, continuing up & right.

If is increasing, then slopes are positive so .

Use the Power Rule to find .

Solve the inequality: .