Question

Find the factors that are common in the numerator and the denominator. Then find the intercepts and asymptotes. (If an answer does not exist, enter DNE. Enter your asymptotes as a comma-separated list of equations if necessary.) $r(x) = \frac{x^2 + 6x - 16}{(x + 1)(x - 3)(x + 8)}$ x-intercept $(x, y) = (2, 0)$ y-intercept $(x, y) = (0, \frac{2}{3})$ vertical asymptote(s) horizontal asymptote

          Find the factors that are common in the numerator and the denominator. Then find the intercepts and asymptotes. (If an answer does not exist, enter DNE. Enter your asymptotes as a comma-separated list of equations if necessary.)
$r(x) = \frac{x^2 + 6x - 16}{(x + 1)(x - 3)(x + 8)}$
x-intercept
$(x, y) = (2, 0)$
y-intercept
$(x, y) = (0, \frac{2}{3})$
vertical asymptote(s)
horizontal asymptote

Find the factors that are common in the numerator and the denominator. Then find the intercepts and asymptotes. (If an answer does not exist, enter DNE. Enter your asymptotes as a comma-separated list of equations if necessary.)
r(x) = (x^2 + 6x - 16)/((x + 1)(x - 3)(x + 8))
x-intercept
(x, y) = (2, 0)
y-intercept
(x, y) = (0, (2)/(3))
vertical asymptote(s)
horizontal asymptote

Added by Belen L.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Aman Gupta

11/17/2022

Step 1

$$r(x) = \frac{x^2 + 6x - 16}{(x + 1)(x - 3)(x + 8)} = \frac{(x + 8)(x - 2)}{(x + 1)(x - 3)(x + 8)}$$ Show more…

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Find the factors that are common in the numerator and the denominator. Then find the intercepts and asymptotes. (If an answer does not exist, enter DNE. Enter your asymptotes as a comma-separated list of equations if necessary.) r(x) = $$ \frac{x^2 + 6x - 16}{(x + 1)(x - 3)(x + 8)} $$ x-intercept (x, y) = (2,0 ✔ y-intercept (x,y) = (0, vertical asymptote(s) horizontal asymptote X X ) (