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81.2² 18 3x-2 = For the rational function h(x) a. Find any intercepts of the function. State them as ordered pairs. find each of the following:

81.2² 18 3x-2 = For the rational function h(x) a. Find any intercepts of the function. State them as ordered pairs. find each of the following:

Calculus: Early Transcendentals
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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For the rational function \( h(x) = \frac{81x^2 - 18}{3x - 2} \), find each of the following: a. Find any intercepts of the function. State them as ordered pairs. b. Find the equations of any asymptotes.
Transcribed Image Text:For the rational function \( h(x) = \frac{81x^2 - 18}{3x - 2} \), find each of the following: a. Find any intercepts of the function. State them as ordered pairs. b. Find the equations of any asymptotes.
Expert Solution
Step 1

h\left(x\right)=\frac{81x^2-18}{3x-2}

to find the y-intercepts, take x=0

y=\frac{81\cdot \:0^2-18}{3\cdot \:0-2}

y=\frac{0-18}{0-2}

y= \frac{-18}{-2}

y=9

{\color{Red} \mathrm{Y\:Intercepts}:\:\left(0,\:9\right)}

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