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?
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
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Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
#2, #7, and #15 please.
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