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Found in: Page 159

### Precalculus Mathematics for Calculus

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

# 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.

See the 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: $X\to Y$.

## 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 $\left(t,\text{}T\right)$ coordinates to construct a graph as shown: