Explanation Given: A function: h ( x ) = 4 − x 2 Calculation: We can see that our given function is a square-root function. Since square-root is not defined for negative numbers, so to find the domain of the function, we will set expression under radical greater than or equal to 0 as: 4 − x 2 ≥ 0 − x 2 ≥ − 4 x 2 ≤ 4 − 4 ≤ x 2 ≤ 4 − 2 ≤ x ≤ 2 Therefore, the domain of the given function is [ − 2 , 2 ] . Let us find the range of our given function by computing on the boundaries as: h ( − 2 ) = 4 − ( − 2 ) 2 h ( − 2 ) = 4 − 4 h ( − 2 ) = 0 &

15th Edition

ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.

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Chapter 1.1, Problem 40E

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To find:

The domain and range of the given graph. Sketch the graph of function.

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Chapter 1.1, Problem 39E

Chapter 1.1, Problem 41E

Chapter 1 Solutions

Biocalculus

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The domain and range of the given graph. Sketch the graph of function.

Solution Summary: The author explains that the given function is a square-root function, so to find the domain, we will set expression under radical greater than or equal to 0.

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To find: The domain and range of the given graph. Sketch the graph of function.

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Chapter 1 Solutions

To find:

The domain and range of the given graph. Sketch the graph of function.