Select the correct answer what are the vertical asymptotes...

Name: select the correct answer what are the vertical asymptotes of the function fx frac6xx2 4x 5 a x 6 b y 0 c y 1 and y 5 d x 1 and x 5 32513
Uploaded: 2022-07-18T02:13:57-08:00
Duration: 4 min 12 s
Channel: Kathleen Carty
Description: select the correct answer what are the vertical asymptotes of the function fx frac6xx2 4x 5 a x 6 b y 0 c y 1 and y 5 d x 1 and x 5 32513

Transcript

00:01 So my vertical asymptopes, the values that make my denominator zero after i've put the function in lowest terms.

00:16 It's in lowest terms because i don't have any common factors to cancel.

00:21 So i will have vertical asymptopes at x equals negative 1 and x equals positive 4.

00:29 And they have to be in the form of an equation.

00:33 They should say x equals.

00:36 The x intercepts are the values that make my numerator zero.

00:43 So i'm going to have x intercepts at 1 and 6.

00:51 So they will be the points 1 ,0 and 6.

00:55 Zero.

01:00 I want to find the horizontal asymptopes.

01:09 Horizontal asymptopes occur when the degree of your numerator is smaller than the degree of your denominator or equal to the degree of your denominator.

01:21 So in this problem, my degrees are equal.

01:25 So i'm going to have a horizontal asymptote at the ratio of leading coefficients.

01:30 On top, that's going to be negative one.

01:33 On the bottom that's positive one.

01:35 So a horizontal asymptope at y equals negative one.

01:44 Find the y intercept.

01:48 The y intercept is the value of the function when x is zero.

01:53 So i just wanna put in zero for x and that's gonna give me zero minus one, zero minus six, zero plus one, zero minus four.

02:07 So that's going to give me on top, i'm going to have a negative 1 times negative 6...

Question

Select the correct answer. What are the vertical asymptotes of the function? $f(x) = \frac{6x}{x^2 + 4x - 5}$ A. $x = 6$ B. $y = 0$ C. $y = 1$ and $y = -5$ D. $x = 1$ and $x = -5$

Question

Select the correct answer. What are the vertical asymptotes of the function? $f(x) = \frac{6x}{x^2 + 4x - 5}$ A. $x = 6$ B. $y = 0$ C. $y = 1$ and $y = -5$ D. $x = 1$ and $x = -5$

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