Consider the image attached of the graphs of y = (1/2)x + 5 (what the red line represents) and y = |x| (what the blue line represents) in the same coordinate system. Also consider the image attached of the x and y values of the coordinates in which both of the graphs intersect. What is the area of the region bounded by both of the graphs? The answer to this question should be a mathematical expression (instead of a number) in square units.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the image attached of the graphs of y = (1/2)x + 5 (what the red line represents) and y = |x| (what the blue line represents) in the same coordinate system.

Also consider the image attached of the x and y values of the coordinates in which both of the graphs intersect.

What is the area of the region bounded by both of the graphs? The answer to this question should be a mathematical expression (instead of a number) in square units.

(c) Sketch the graph of y = x
+ 5 and y = |x| in the same coordinate system.
y
20
10
- 20
–10
10
20
- 20
- 10
- 20
Transcribed Image Text:(c) Sketch the graph of y = x + 5 and y = |x| in the same coordinate system. y 20 10 - 20 –10 10 20 - 20 - 10 - 20
Find where the two graphs intersect.
10 10
(х, у) %—D
3' 3
(smaller x-value)
(х, у) %3D ( 10, 10
(larger x-value)
Transcribed Image Text:Find where the two graphs intersect. 10 10 (х, у) %—D 3' 3 (smaller x-value) (х, у) %3D ( 10, 10 (larger x-value)
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