Answered: Identify the horizontal and vertical…

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...

See similar textbooks

Related questions

Question

Identify the horizontal and vertical asymptotes of the function f(x) by calculating the appropriate limits and sketch the graph of the function ;f(x)=x^2-4/x^2

Expert Solution

Step 1

We have given function

$f (x) = \frac{x^{2} - 4}{x^{2}}$

Here, we can see the denominator will be zero for $x = 0$

And neither numerator zero for $x = 0$ .

Therefore, vertical asymptotes is $x = 0$ or $y -$ axis.

And here degree of numerator is equal to degree of denominator then horizontal asymptote is ratio of leading

coefficients.

So, horizontal asymptotes is $y = \frac{1}{1} = 1$

Step by step

Solved in 2 steps with 1 images

Knowledge Booster

$Asymptote$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions