Question

identify the vertical asymptote(s) of each function. check all of the boxes that apply.

(f(x) = \frac{x - 8}{x^2 - 3x + 2})
(x = -8)
(x = -2)
(x = -1)
(x = 1)
(x = 2)
(x = 8)

(f(x) = \frac{3x}{x^2 - 16})
(x = -16)
(x = -4)
(x = 0)
(x = 4)
(x = 16)

Explanation:

Analyze the first function

Using the Vertical Asymptotes, Rational Functions, and Polynomial Factoring knowledge points

$$
LATEXBLOCK0
$$

Analyze the second function

Using the Vertical Asymptotes, Rational Functions, and Polynomial Factoring knowledge points

$$
LATEXBLOCK1
$$

Answer:

Question 1

• [ ] \(x = -8\)
• [ ] \(x = -2\)
• [ ] \(x = -1\)
• [x] \(x = 1\) (Correct answer)
• [x] \(x = 2\) (Correct answer)
• [ ] \(x = 8\)

Question 2

• [ ] \(x = -16\)
• [x] \(x = -4\) (Correct answer)
• [ ] \(x = 0\)
• [x] \(x = 4\) (Correct answer)
• [ ] \(x = 16\)