Rational Functions

Practice Questions

Pre-Calculus › Rational Functions

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1

Find the zeros and asymptotes for

$y = \frac{2x^2 + 5 x - 3 }{2x^2 + 3x - 2 }$ .

2

Solve this equation and check your answer:

$1+\frac{n+6}{n+1}=\frac{4}{n-2}$

3

Find the zeros and asymptotes for

$y = \frac{2x^2 + 5 x - 3 }{2x^2 + 3x - 2 }$ .

4

Solve this equation and check your answer:

$1+\frac{n+6}{n+1}=\frac{4}{n-2}$

5

Find the slant and vertical asymptotes for the equation

$y = \frac{2x^2 - 5 x + 1 }{x + 3 }$ .

6

Solve $\frac{(x+1)(x-2)}{(x-3)^2(x+4)^3}<0$

7

Find the slant and vertical asymptotes for the equation

$y = \frac{2x^2 - 5 x + 1 }{x + 3 }$ .

8

Find the slant asymptote for

$y = \frac{2x^2 - 13 x - 7 }{ x - 7 }$ .

9

Solve $\frac{(x+1)(x-2)}{(x-3)^2(x+4)^3}<0$

10

Find the point of discontinuity for the following function:

$g(x)=\frac{x^2-1}{x^2+8x+7}$

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