Extend 3-2: Graphing Technology Lab Graphing Linear Functions
[–10,10] scl:1 by [–10,10] scl:1
Use a graphing calculator to graph each
equation in the standard viewing window.
Sketch the result.
1. y = x + 5
5. x + y = –4
SOLUTION: SOLUTION: [–10,10] scl:1 by [–10,10] scl:1
6. x – 3y = 6
[–10,10] scl:1 by [–10,10] scl:1
SOLUTION: 2. y = 5x + 6
SOLUTION: [–10,10] scl:1 by [–10,10] scl:1
[–10,10] scl:1 by [–10,10] scl:1
3. y = 9 – 4x
SOLUTION: Graph each equation in the standard viewing
window. Determine whether the graph is
complete. If the graph is not complete, adjust
the viewing window and graph the equation
again.
7. y = 4x + 7
SOLUTION: [–10,10] scl:1 by [–10,10] scl:1
4. 3x + y = 5
SOLUTION: [–10,10] scl:1 by [–10,10] scl:1
8. y = 9x – 5
SOLUTION: [–10,10] scl:1 by [–10,10] scl:1
5. x + y = –4
SOLUTION: eSolutions Manual - Powered by Cognero
[–10,10] scl:1 by [–10,10] scl:1
9. y = 2x – 11
SOLUTION: Graph in a standard viewing window. Page 1
Extend 3-2: Graphing Technology Lab Graphing Linear Functions
[–10,10] scl:1 by [–10,10] scl:1
[–10,10] scl:1 by [–15,5] scl:1
10. 4x – y = 16
9. y = 2x – 11
SOLUTION: SOLUTION: Graph in a standard viewing window. Graph in a standard viewing window. [–10,10] scl:1 by [–10, 10] scl:1
In a standard viewing window, you can not see the yintercept at –11. Use the WINDOW key to adjust
the viewing window.
Keystrokes:
1
10
15
5
10
1
[–10,10] scl:1 by [–10, 10] scl:1
In a standard viewing window, you can not see the yintercept at –16. Use the WINDOW key to adjust
the viewing window.
Keystrokes:
1
10
20
5
10
1
[–10,10] scl:1 by [–15,5] scl:1
[–10,10] scl:1 by [–20,5] scl:1
10. 4x – y = 16
11. 6x + 2y = 23
SOLUTION: SOLUTION: Graph in a standard viewing window. Graph in a standard viewing window.
[–10,10] scl:1 by [–10, 10] scl:1
[–10,10] scl:1 by [–10, 10] scl:1
In a standard viewing window, you can not see the yintercept at –16. Use the WINDOW key to adjust
the viewing window.
In a standard viewing window, the y-intercept at
11.5 is not totally visible. Use the WINDOW key to adjust the viewing window.
Keystrokes:
10
10
Keystrokes:
1
20
5
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1
10
1
5
15
1
10
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Extend 3-2: Graphing Technology Lab Graphing Linear Functions
[–10,10] scl:1 by [–20,5] scl:1
[–10, 10] scl:1 by [–5, 15] scl:1
11. 6x + 2y = 23
12. x + 4y = –36
SOLUTION: SOLUTION: Graph in a standard viewing window.
Graph in a standard viewing window.
[–10,10] scl:1 by [–10, 10] scl:1
[–10,10] scl:1 by [–10, 10] scl:1
In a standard viewing window, the y-intercept at
11.5 is not totally visible. Use the WINDOW key to adjust the viewing window.
Keystrokes:
10
In a standard viewing window, you can not see the xintercept at –36. Use the WINDOW key to adjust
the viewing window.
10
Keystrokes:
1
5
15
36
8
4
1
20
4
2
[–10, 10] scl:1 by [–5, 15] scl:1
[–36, 8] scl:4 by [–20, 4] scl:2
12. x + 4y = –36
Consider the linear equation y = 3x + b.
13. Choose several different positive and negative values
for b. Graph each equation in the standard viewing
window.
SOLUTION: Graph in a standard viewing window.
SOLUTION: Graph y = 3x + b with b = {–17, –6, 0, 4, 9, 12}.
[–10,10] scl:1 by [–10, 10] scl:1
In a standard viewing window, you can not see the xintercept at –36. Use the WINDOW key to adjust
the viewing window.
Keystrokes:
36
eSolutions Manual - Powered by Cognero
20
4
2
8
4
[–10,10] scl:1 by [–10, 10] scl:1
14. For which values of b is the complete graph in the
standard viewing window?
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SOLUTION: Often linear equations are graphed in the standard
[–10,10] scl:1 by [–10, 10] scl:1
Extend
3-2: Graphing Technology Lab Graphing Linear Functions
[–10,10] scl:1 by [–10, 10] scl:1
14. For which values of b is the complete graph in the
standard viewing window?
SOLUTION: Often linear equations are graphed in the standard
viewing window. The standard viewing window is [–
10, 10] by [–10, 10] with a scale of 1 on each axis.
So, –10 b 10.
For example: In the following graph, only two lines
have –10 > b or b > 10, y = 3x – 17 and y = 3x +
12.Both lines have y-intercepts that are not visible on
a standard viewing window. 15. How is the value of b related to the y–intercept of
the graph of y = 3x + b?
SOLUTION: Each line crosses the y-axis at point b. The point
where the line crosses the axis is the y–intercept of
the graph. Therefore the y-intercept is b. For example, in the equation y = 3x – 6, b is –6 and
the y-intercept is –6. [–10,10] scl:1 by [–10, 10] scl:1
[–10,10] scl:1 by [–10, 10] scl:1
15. How is the value of b related to the y–intercept of
the graph of y = 3x + b?
SOLUTION: Each line crosses the y-axis at point b. The point
where the line crosses the axis is the y–intercept of
the graph. Therefore the y-intercept is b. For example, in the equation y = 3x – 6, b is –6 and
[–10,10] scl:1 by [–10, 10] scl:1
the y-intercept is –6. [–10,10] scl:1 by [–10, 10] scl:1
[–10,10] scl:1 by [–10, 10] scl:1
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