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.
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.
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.
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
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)
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
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