Question

(5 pts) 3. Find the vertical and end-behavior asymptote for the following rational function. $$f(x) = \frac{2x^2-7x+1}{x-3}$$ (5 pts) 4. Solve the following rational inequality and the state answer in interval notation: $$\frac{x-4}{2x+7} > 0$$

Name: 5 pts 3 find the vertical and end behavior asymptote for the following rational function fx frac2x2 7x1x 3 5 pts 4 solve the following rational inequality and the state answer in interval no 07024
Uploaded: 2022-07-15T15:38:00-08:00
Duration: 4 min 2 s
Channel: Kathleen Carty
Description: 5 pts 3 find the vertical and end behavior asymptote for the following rational function fx frac2x2 7x1x 3 5 pts 4 solve the following rational inequality and the state answer in interval no 07024

          (5 pts)
3. Find the vertical and end-behavior asymptote for the following rational function.
$$f(x) = \frac{2x^2-7x+1}{x-3}$$
(5 pts)
4. Solve the following rational inequality and the state answer in interval notation:
$$\frac{x-4}{2x+7} > 0$$

$5 pts 3 find the vertical and end behavior asymptote for the following rational function fx frac2x2 7x1x 3 5 pts 4 solve the following rational inequality and the state answer in interval no 07024$

Added by Francisca M.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Kathleen Carty

07/15/2022

Step 1

**Vertical Asymptote:** A vertical asymptote occurs where the denominator is zero and the numerator is non-zero. Set the denominator equal to zero: $$x-3 = 0$$ $$x = 3$$ Since the numerator $2(3)^2 - 7(3) + 1 = 2(9) - 21 + 1 = 18 - 21 + 1 = -2 \neq 0$, there is a Show more…

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(5 pts) 3. Find the vertical and end-behavior asymptote for the following rational function. $$f(x) = \frac{2x^2-7x+1}{x-3}$$ (5 pts) 4. Solve the following rational inequality and the state answer in interval notation: $$\frac{x-4}{2x+7} > 0$$