   Chapter 10.5, Problem 25E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# In Problems 25-28, a function and its graph are given.(a) Use the graph to estimate the locations of any horizontal or vertical asymptotes.(b) Use the function to determine precisely the locations of any asymptotes. f ( x ) = 9 17 − 4 x (a)

To determine

The vertical and horizontal asymptotes from the graph for the provided graph of the function f(x)=9x174x. Explanation

Given Information:

The provided graph of the function f(x)=9x174x is

.

Explanation:

Consider the provided graph,

Recall that a vertical asymptote of a function f(x) is a line x=a such that f(a)=.

Consider, at x4 the graph of the function decreases and increases indefinitely.

Thus, the vertical asymptote is the line x4

(b)

To determine

To calculate: The vertical and horizontal asymptotes for the provided function f(x)=9x174x.

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