(a) Using a graphing utility, graph the two functions y= x + 2 and y = x² in the viewing rectangle [0, 4, 1] x [0, 16, 2]. If your graphing utility allows, include the y-axis gridlines in the picture; they'll be helpful in part (b). (b) Suppose that we use the two functions in part (a) as the given functions in Example 7. On the basis of the graph in part (a), make a rough estimate for the minimum length of the road. (c) Use the technique of Example 7 to find the exact value for the minimum length.
(a) Using a graphing utility, graph the two functions y= x + 2 and y = x² in the viewing rectangle [0, 4, 1] x [0, 16, 2]. If your graphing utility allows, include the y-axis gridlines in the picture; they'll be helpful in part (b). (b) Suppose that we use the two functions in part (a) as the given functions in Example 7. On the basis of the graph in part (a), make a rough estimate for the minimum length of the road. (c) Use the technique of Example 7 to find the exact value for the minimum length.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 35E
Related questions
Question
![(a) Using a graphing utility, graph the two functions
y= x + 2 and y = x² in the viewing rectangle
[0, 4, 1] x [0, 16, 2]. If your graphing utility allows,
include the y-axis gridlines in the picture; they'll be
helpful in part (b).
(b) Suppose that we use the two functions in part (a)
as the given functions in Example 7. On the basis of
the graph in part (a), make a rough estimate for the
minimum length of the road.
(c) Use the technique of Example 7 to find the exact value
for the minimum length.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdc4ee15e-f618-46db-aa49-6a6265457f77%2Fbbf31bba-917e-4e93-9790-c3083191d31f%2F5ejox1j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(a) Using a graphing utility, graph the two functions
y= x + 2 and y = x² in the viewing rectangle
[0, 4, 1] x [0, 16, 2]. If your graphing utility allows,
include the y-axis gridlines in the picture; they'll be
helpful in part (b).
(b) Suppose that we use the two functions in part (a)
as the given functions in Example 7. On the basis of
the graph in part (a), make a rough estimate for the
minimum length of the road.
(c) Use the technique of Example 7 to find the exact value
for the minimum length.
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