hapter 4 The fil stop is to evaluate which intervals satisfy each inequality. The solution to a Tirst egualicy is simply the union of the two intervals where f is positive: (-00,-3)U(-2,00). For the second inequality, we have to decide which endpoints to include. We incdua X = -3, since this is a zero of the rationnl function, but we do not include x = -2 sin the value is not in the domain of f.Thus, the solution to the second inequality is: (-, -3]U(-2,0). Exercises Find equations for the vertical asymptotes, if any, for each of the following rational functions. See Example 1. 1. f(x)=-1 2. f(x)= x+3 x² – 4 3. f(x)= x+2 -Зх +5 3x² +1 x² +2x 4. f(x)= 5. f(x) = 6. f(x)= x+1 x² - 4 2x – x² x+2 8. ƒ(x)= x² - 2x-3 х 7. f(x)= 9. f(x)= .2 2x2 - 5x- 3 .3 2x2 + 2x-4 x² +5 12. f(x)= x° - 27 10. f(x)= 11. f(x)= x² +5 x +2x +1 .2 x° - 27 .3 13. f(x)= x² - 1 14. f(x)= 2x² +7x-14 15. f(x)= x³ - 6x? +11x-6 x² -8x+7 2x² +7x-15 x² 16. f(x)= x² - 16 17. f(x) = -2x-15 x +4x+4 18. f(x)= .2 x -4 x² +x-2 Find equations for the horizontal or oblique asymptotes, if any, for each of the following rational functions. See Example 2. 19. f(x)=-1 20. f(x)= *+3 x+3 x* - 4 21. f(x)="," 22. f(x)3= x² -4 %3D x² +2 2х -x?

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Chapter3: Functions
Section3.6: Absolute Value Functions
Problem 38SE: Cities A and B are on the same east-west line. Assume that city A is located at the origin. If the...
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#2, #7, and #15 please.

hapter 4
The fil stop is to evaluate which intervals satisfy each inequality. The solution to a
Tirst egualicy is simply the union of the two intervals where f is positive:
(-00,-3)U(-2,00).
For the second inequality, we have to decide which endpoints to include. We incdua
X = -3, since this is a zero of the rationnl function, but we do not include x = -2 sin
the value is not in the domain of f.Thus, the solution to the second inequality is:
(-, -3]U(-2,0).
Exercises
Find equations for the vertical asymptotes, if any, for each of the following rational
functions. See Example 1.
1. f(x)=-1
2. f(x)=
x+3
x² – 4
3. f(x)=
x+2
-Зх +5
3x² +1
x² +2x
4. f(x)=
5. f(x) =
6. f(x)=
x+1
x² - 4
2x – x²
x+2
8. ƒ(x)=
x² - 2x-3
х
7. f(x)=
9. f(x)=
.2
2x2 - 5x- 3
.3
2x2 + 2x-4
x² +5
12. f(x)=
x° - 27
10. f(x)=
11. f(x)=
x² +5
x +2x +1
.2
x° - 27
.3
13. f(x)=
x² - 1
14. f(x)=
2x² +7x-14
15. f(x)=
x³ - 6x? +11x-6
x² -8x+7
2x² +7x-15
x²
16. f(x)=
x² - 16
17. f(x) =
-2x-15
x +4x+4
18. f(x)=
.2
x -4
x² +x-2
Find equations for the horizontal or oblique asymptotes, if any, for each of the following
rational functions. See Example 2.
19. f(x)=-1
20. f(x)= *+3
x+3
x* - 4
21. f(x)=","
22. f(x)3=
x² -4
%3D
x² +2
2х -x?
Transcribed Image Text:hapter 4 The fil stop is to evaluate which intervals satisfy each inequality. The solution to a Tirst egualicy is simply the union of the two intervals where f is positive: (-00,-3)U(-2,00). For the second inequality, we have to decide which endpoints to include. We incdua X = -3, since this is a zero of the rationnl function, but we do not include x = -2 sin the value is not in the domain of f.Thus, the solution to the second inequality is: (-, -3]U(-2,0). Exercises Find equations for the vertical asymptotes, if any, for each of the following rational functions. See Example 1. 1. f(x)=-1 2. f(x)= x+3 x² – 4 3. f(x)= x+2 -Зх +5 3x² +1 x² +2x 4. f(x)= 5. f(x) = 6. f(x)= x+1 x² - 4 2x – x² x+2 8. ƒ(x)= x² - 2x-3 х 7. f(x)= 9. f(x)= .2 2x2 - 5x- 3 .3 2x2 + 2x-4 x² +5 12. f(x)= x° - 27 10. f(x)= 11. f(x)= x² +5 x +2x +1 .2 x° - 27 .3 13. f(x)= x² - 1 14. f(x)= 2x² +7x-14 15. f(x)= x³ - 6x? +11x-6 x² -8x+7 2x² +7x-15 x² 16. f(x)= x² - 16 17. f(x) = -2x-15 x +4x+4 18. f(x)= .2 x -4 x² +x-2 Find equations for the horizontal or oblique asymptotes, if any, for each of the following rational functions. See Example 2. 19. f(x)=-1 20. f(x)= *+3 x+3 x* - 4 21. f(x)="," 22. f(x)3= x² -4 %3D x² +2 2х -x?
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