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4. be a point on the graph of .
(a) Express the distance d from P to the origin as a function of x.
(b) Use a graphing utility to graph .
(c) For what values of x is d smallest?
![Check Mark](/static/check-mark.png)
To find:
a. To express the distance from to the origin as a function of .
Answer to Problem 4AYU
Solution:
a.
Explanation of Solution
Given:
Calculation:
a. To express the distance from to the point as a function of :
Since is a point on the graph . Substitute for . Then
![Check Mark](/static/check-mark.png)
To find:
b. To graph .
Answer to Problem 4AYU
Solution:
b.
Explanation of Solution
Given:
Calculation:
b. To graph :
![Check Mark](/static/check-mark.png)
To find:
c. To find values of is smallest.
Answer to Problem 4AYU
Solution:
c.
Explanation of Solution
Given:
Calculation:
c. To find values of is smallest:
From the graph it can be seen that when attains its minimum value . Therefore, is smallest when .
Chapter 2 Solutions
Precalculus Enhanced with Graphing Utilities
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