Name: College Algebra
Author: Lial
ISBN: 9780136881063

Ch. 3 - Polynomial and Rational Functions

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Lial 13th Edition

Ch. 3 - Polynomial and Rational Functions

Section 3.5

문제 13

Use the graphs of the rational functions in choices A–D to answer each question.

There may be more than one correct choice. If ƒ represents the function, only one choice has a single solution to the equation ƒ(x)=3. Which one is it?

문제 31

Match the rational function in Column I with the appropriate description in Column II. Choices in Column II can be used only once. ƒ(x)=1/(x+4)

문제 33

Match the rational function in Column I with the appropriate description in Column II. Choices in Column II can be used only once. ƒ(x)=(x²-16)/(x+4)

문제 35

Match the rational function in Column I with the appropriate description in Column II. Choices in Column II can be used only once. ƒ(x)=(x²+3x+4)/(x-5)

문제 37

Give the equations of any vertical, horizontal, or oblique asymptotes for the graph of each rational function. ƒ(x)=3/(x-5)

문제 39

Give the equations of any vertical, horizontal, or oblique asymptotes for the graph of each rational function. ƒ(x)=(4-3x)/(2x+1)

문제 40

Give the equations of any vertical, horizontal, or oblique asymptotes for the graph of each rational function. ƒ(x)=(2x+6)/(x-4)

문제 41

Give the equations of any vertical, horizontal, or oblique asymptotes for the graph of each rational function. ƒ(x)=(x²-1)/(x+3)

문제 43

Give the equations of any vertical, horizontal, or oblique asymptotes for the graph of each rational function. ƒ(x)=(x²-2x-3)/(2x²-x-10)

문제 45

Give the equations of any vertical, horizontal, or oblique asymptotes for the graph of each rational function. ƒ(x)=(x²+1)/(x²+9)

문제 46

Give the equations of any vertical, horizontal, or oblique asymptotes for the graph of each rational function. ƒ(x)=(4x²+25)/(x²+9)

문제 50c

Work each problem. Choices A–D below show the four ways in which the graph of a rational function can approach the vertical line x=2 as an asymptote. Identify the graph of each rational function defined in parts (a) – (d). $ƒ (x) = - 1 / (x - 2)$

문제 51

Work each problem. Which function has a graph that does not have a vertical asymptote?

A. ƒ(x)=1/(x²+2)

B. ƒ(x)=1/(x²-2)

C. ƒ(x)=3/x²

D. ƒ(x)=(2x+1)/(x-8)

문제 52

Work each problem. Which function has a graph that does not have a horizontal asymptote?

A. ƒ(x)=(2x-7)/(x+3)

B. ƒ(x)=3x/(x²-9)

C. ƒ(x)=(x²-9)/(x+3)

D. ƒ(x)=(x+5)/(x+2)(x-3)

문제 53

Identify any vertical, horizontal, or oblique asymptotes in the graph of y=ƒ(x). State the domain of ƒ.

문제 55

Identify any vertical, horizontal, or oblique asymptotes in the graph of y=ƒ(x). State the domain of ƒ.

문제 57

Identify any vertical, horizontal, or oblique asymptotes in the graph of y=ƒ(x). State the domain of ƒ.

문제 58

Identify any vertical, horizontal, or oblique asymptotes in the graph of $y = f (x)$ . State the domain of $f$ .

문제 59

Identify any vertical, horizontal, or oblique asymptotes in the graph of y=ƒ(x). State the domain of ƒ.

문제 61

Graph each rational function. ƒ(x)=(x+1)/(x-4)

문제 63

Graph each rational function. ƒ(x)=(x+2)/(x-3)

문제 66

Graph each rational function. ƒ(x)=(6-3x)/(4-x)

문제 67

Graph each rational function. ƒ(x)=3x/(x²-x-2)

문제 68

Graph each rational function. ƒ(x)=(2x+1)/(x²+6x+8)

문제 69

Graph each rational function. ƒ(x)=5x/(x²-1)

문제 72

Graph each rational function. ƒ(x)=[(x+3)(x-5)]/[(x+1)(x-4)]

문제 73

Graph each rational function. ƒ(x)=(3x²+3x-6)/(x²-x-12)

문제 75

Graph each rational function. ƒ(x)=(9x²-1)/(x²-4)

문제 82

Graph each rational function. ƒ(x)=[(x-5)(x-2)]/(x²+9)

문제 83

Graph each rational function. ƒ(x)=(x²+8x+16)/(x²+4x-5)