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Q91.

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Precalculus Mathematics for Calculus
Found in: Page 159
Precalculus Mathematics for Calculus

Precalculus Mathematics for Calculus

Book edition 7th Edition
Author(s) James Stewart, Lothar Redlin, Saleem Watson
Pages 948 pages
ISBN 9781337067508

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Short Answer

Daily Temperature Change Temperature readings T (in °F) were recorded every 2 hours from midnight to noon in Atlanta, Georgia, on March 18, 2014. The time t was measured in hours from midnight. Sketch a rough graph of T as a function of t.

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Step by Step Solution

Step 1. Use the definition of functions.

A function is defined as, given a set of inputs X and a set of possible outputs Y as a set of ordered pairs (x, y). We can write the statement that f is a function from X to Y using the function notation f: XY.

Step 2. Analyze the information given.

Temperature readings T (in °F) were recorded every 2 hours from midnight to noon in Atlanta, Georgia, on March 18, 2014. The time t was measured in hours from midnight.

Step 3. Evaluate the function.

Using time in hours as a variable t and temperature as T we construct a function table as shown:

Step 4. Graph the function.

Using the table values above, we graph t, T coordinates to construct a graph as shown:

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