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2.5E: Absolute Value Functions (Exercises)

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section 2.5 exercise

Write an equation for each transformation of f(x)=|x|

1.屏幕快照 2019-06-21 下午8.02.21.png 2.屏幕快照 2019-06-21 下午8.02.52.png

3. 屏幕快照 2019-06-21 下午8.03.11.png4.屏幕快照 2019-06-21 下午8.03.33.png

Sketch a graph of each function

5. f(x)=|x1|1

6. f(x)=|x+3|+4

7. f(x)=2|x+3|+1

8. f(x)=3|x2|3

9. f(x)=|2x4|3

10. f(x)=|3x+9|+2

Solve each the equation

11. |5x2|=11

12. |4x+2|=15

13. 2|4x|=7

14. 3|5x|=5

15. 3|x+1|4=2

16. 5|x4|7=2

Find the horizontal and vertical intercepts of each function

17. f(x)=2|x+1|10

18. f(x)=4|x3|+4

19. f(x)=3|x2|1

20. f(x)=2|x+1|+6

Solve each inequality

21. |x+5|<6

22. |x3|<7

23. |x2|3

24. |x+4|2

25. |3x+9|<4

26. |2x9|8

Answer

1. y=12|x+2|+1

3. y=3|x3|+3

5. Screen Shot 2019-10-01 at 8.28.41 PM.png

7. Screen Shot 2019-10-01 at 8.29.06 PM.png

9. Screen Shot 2019-10-01 at 8.29.25 PM.png

11. x=95 or x=135

13. x=12 or x=152

15. x=53 or x=13

Horizontal Intercepts Vertical Intercept
17. (-6, 0) and (4, 0) (0, -8)
19. none (0, -7)

21. 11<x<1 or (-11, 1)

23. x5, x1 or (,1][5,)

25. 133<x<53 or (133,53)


This page titled 2.5E: Absolute Value Functions (Exercises) is shared under a CC BY-SA 4.0 license and was authored, remixed, and/or curated by David Lippman & Melonie Rasmussen (The OpenTextBookStore) via source content that was edited to the style and standards of the LibreTexts platform.

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