Concept explainers
a.
To explain : the data appear linear by using the graphing utility to graph the data
a.
Answer to Problem 36E
The graph does not appear linear because the dots are on a curved path
Explanation of Solution
Given information : the table provided in the question is shown below
Graph : Sketch the graph using graphing utility.
Step 1: Press WINDOW button to access the Window editor.
Step 2: Press
Step 3: Enter the data
Step 4: Press
The graph is obtained as:
b.
To find : the quadratic model for the data and by using graphing utility graph the data
b.
Explanation of Solution
Given information : the table provided in the question is shown below
Calculation:
The data appears quadratic for the given temperature. It will not work for
Graph : Sketch the graph using graphing utility.
Step 1: Press WINDOW button to access the Window editor.
Step 2: Press
Step 3: Enter the data
Step 4: Press
The graph is obtained as:
c.
To find : the exponential model for the data
c.
Answer to Problem 36E
The exponential model for the data is
Explanation of Solution
Given information : the table provided in the question is shown below
Calculation :
Using the points with
Then add
Graph : Sketch the graph using graphing utility.
Step 1: Press WINDOW button to access the Window editor.
Step 2: Press
Step 3: Enter the data
Step 4: Press
The graph is obtained as:
d.
To explain : why the procedure of part (c) is necessary for finding the exponential model
d.
Explanation of Solution
Given information : the table provided in the question is shown below
If we used the original points we would get model
The problem with this is as
Chapter 3 Solutions
Precalculus with Limits: A Graphing Approach
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning