1. A rational function fis given. f(x) = (a) Find the x-intercepts (x, y). (b) Find the y-intercept (x, y). 7(x² - 10x - 39) x² + 2x - 15 (c) Find the vertical asymptote (answer x =, or y = ). (d) Find the horizontal asymptote (answer x =, or y =).

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1. A rational function \( f \) is given.

\[
f(x) = \frac{7(x^2 - 10x - 39)}{x^2 + 2x - 15}
\]

(a) Find the x-intercepts \((x, y)\).

(b) Find the y-intercept \((x, y)\).

(c) Find the vertical asymptote (answer \( x = \) , or \( y = \) ).

(d) Find the horizontal asymptote (answer \( x = \) , or \( y = \) ).
Transcribed Image Text:1. A rational function \( f \) is given. \[ f(x) = \frac{7(x^2 - 10x - 39)}{x^2 + 2x - 15} \] (a) Find the x-intercepts \((x, y)\). (b) Find the y-intercept \((x, y)\). (c) Find the vertical asymptote (answer \( x = \) , or \( y = \) ). (d) Find the horizontal asymptote (answer \( x = \) , or \( y = \) ).
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