   Chapter 10.5, Problem 39E ### 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

# Wind chill If x is the wind speed in miles per hour and is greater than or equal to 5, then the wind chill (in degrees Fahrenheit) for an air temperature of 0°F can be approximated by the function f ( x ) = 289.173 − 58.5731 x x + 1 x ≥ 5 (a) Ignoring the restriction x ≥ 5 , does f ( x ) have a vertical asymptote? If so, what is it?(b) Does f ( x ) have a vertical asymptote within its domain?(c) Does f ( x ) have a horizontal asymptote? If so, what is it?(d) In the context of wind chill, does lim x → ∞ f ( x ) have a physical interpretation? If so, what is it, and is it meaningful?

(a)

To determine

Whether the function f(x)=289.17358.5731xx+1 has vertical asymptote. If yes then find them.

Explanation

Given Information:

The provided function is, f(x)=289.17358.5731xx+1.

Explanation:

Consider the provided function,

f(x)=289.17358.5731xx+1

Recall that a vertical asymptote of a rational function h(x)=f(x)g(x) is x=a; where

(b)

To determine

Whether the function f(x)=289.17358.5731xx+1 has vertical asymptote within the domain x5.

(c)

To determine

Whether the function f(x)=289.17358.5731xx+1 has horizontal asymptote if yes then find them.

(d)

To determine

The explanation whether it is meaningful to say that the physical interpretation of limxf(x) for the wind chill function f(x)=289.17358.5731xx+1 or not.

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