Name: College Algebra
Author: Blitzer
ISBN: 9780136970514

Ch. 3 - Polynomial and Rational Functions

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Blitzer 8th Edition

Ch. 3 - Polynomial and Rational Functions

Section 3.5

문제 19

Use the graph of the rational function in the figure shown to complete each statement in Exercises 15–20.

As $x \to \infty, f (x) \to$ _____

문제 21

Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of each rational function. f(x)=x/(x+4)

문제 23

Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of each rational function. g(x)=(x+3)/x(x+4)

문제 25

Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of each rational function. h(x)=x/x(x+4)

문제 27

Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of each rational function. r(x)=x/(x²+4)

문제 29

Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of each rational function. f(x)=(x²−9)/(x−3)

문제 31

Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of each rational function. g(x)=(x−3)/(x²−9)

문제 33

Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of each rational function. h(x)=(x+7)/(x²+4x−21)

문제 35

Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of each rational function. r(x)=(x²+4x−21)/(x+7)

문제 37

Find the horizontal asymptote, if there is one, of the graph of each rational function. f(x)=12x/(3x²+1)

문제 39

Find the horizontal asymptote, if there is one, of the graph of each rational function. g(x)=12x²/(3x²+1)

문제 41

Find the horizontal asymptote, if there is one, of the graph of each rational function. h(x)=12x³/(3x²+1)

문제 43

Find the horizontal asymptote, if there is one, of the graph of each rational function. f(x)=(−2x+1)/(3x+5)

문제 45

Use transformations of f(x)=1/x or f(x)=1/x² to graph each rational function. g(x)=1/(x−1)

문제 47

Use transformations of f(x)=1/x or f(x)=1/x² to graph each rational function. h(x)=(1/x) + 2

문제 49

Use transformations of f(x)=1/x or f(x)=1/x² to graph each rational function. g(x)=1/(x+1) − 2

문제 51

Use transformations of f(x)=1/x or f(x)=1/x² to graph each rational function. g(x)=1/(x+2)²

문제 53

Use transformations of f(x)=1/x or f(x)=1/x² to graph each rational function. h(x)=1/x² − 4

문제 55

Use transformations of f(x)=1/x or f(x)=1/x² to graph each rational function. h(x)=1/(x−3)²+1

문제 57

Follow the seven steps to graph each rational function. f(x)=4x/(x−2)

문제 59

Follow the seven steps to graph each rational function. f(x)=2x/(x²−4)

문제 61

Follow the seven steps to graph each rational function. f(x)=2x²/(x²−1)

문제 63

Follow the seven steps to graph each rational function. f(x)=−x/(x+1)

문제 65

Follow the seven steps to graph each rational function. f(x)=− 1/(x²−4)

문제 67

Follow the seven steps to graph each rational function. f(x)=2/(x²+x−2)

문제 69

Follow the seven steps to graph each rational function. f(x)=2x²/(x²+4)

문제 75

Follow the seven steps to graph each rational function. f(x)=x⁴/(x²+2)

문제 81

In Exercises 81–88, a. Find the slant asymptote of the graph of each rational function and b. Follow the seven-step strategy and use the slant asymptote to graph each rational function. f(x)=(x²−1)/x