Question

sketch the graph of each function. Then State the domain, range and increasing, decreasing intervals. Part 3. ​

Answer 1

19) Domain: - ∞ < x < ∞ 20) Domain: - ∞ < x < ∞

Range: - ∞ < y < ∞ Range: - ∞ < y < ∞

Increases throughout Decreases throughout

Explanation:

Given the parent function " y = ∛x" we know that the first graph should have a vertical shift down 2 units, and a horizontal shift 4 units to the right. There is no vertical stretch since there is no coefficient. (Check first graph)

Domain: - ∞ < x < ∞

Range: - ∞ < y < ∞

Increases throughout

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For the second graph there should be a vertical shift down three units, a horizontal shift 1 unit to the left, and a vertical stretch by a factor of - 1. (Check second graph)

Domain: - ∞ < x < ∞

Range: - ∞ < y < ∞

Decreases throughout