
Concept explainers
1. be a point on the graph of .
(a) Express the distance d from P to the origin as a function of x.
(b) What is d if ?
(c) What is d if ?
(d) Use a graphing utility to graph .
(e) For what values of x is d smallest?

To find:
a. To express the distance from to the origin as a function of .
Answer to Problem 1AYU
Solution:
a.
Explanation of Solution
Given:
Calculation:
a. To express the distance from to the origin as a function of :
Since is a point on the graph . Substitute for . Then

To find:
b. To find if .
Answer to Problem 1AYU
Solution:
b. 8
Explanation of Solution
Given:
Calculation:
b. To find if :

To find:
c. To find if .
Answer to Problem 1AYU
Solution:
c.
Explanation of Solution
Given:
Calculation:
c. To find if :

To find:
d. To graph .
Answer to Problem 1AYU
Solution:
d.
Explanation of Solution
Given:
Calculation:
d. To graph :

To find:
e. To find values of is smallest.
Answer to Problem 1AYU
Solution:
e.
Explanation of Solution
Given:
Calculation:
e. To find values of is smallest:
From the graph it can be seen that when attains its minimum.
Therefore, is smallest when .
Chapter 2 Solutions
Precalculus Enhanced with Graphing Utilities
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