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?

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)

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)

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)

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

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

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

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

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)

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

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

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). $\text{ƒ}\left(x\right)=-1/(x-2)$

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)

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)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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