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  1. Quickly sketch the function . Homework Help ✎

    1. State the domain and range of g(x).

    2. Use geometry to find A(g, 0 ≤ x ≤ 4).

    3. Find A(g, − 4 ≤ x ≤ 4).

    4. What is the relationship between the answers of (b) and (c)?

You should recognize this function as a semicircle with radius 4, centered at the origin.

Consider the radius and center of the semicircle. This should help you determine domain and range?

You can use your answer to part (b) and help answer part (c).

The area in (c) is double the area in (b). Be sure to confirm this numerically.