SOLUTION: Find the domain and range of the function. (Enter your answers using interval notation.) h(x) = square root(9 − x^2)

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Question 500758: Find the domain and range of the function. (Enter your answers using interval notation.)
h(x) = square root(9 − x^2)

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Since the radicand must be positive for the function to be defined on the reals, , hence the domain is the set or in interval notation

The largest value the function can assume is when the independent variable is equal to zero, and . The smallest value is when the independent variable is equal to , and

The range is therefore

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