Use the graph of the rational function in the figure shown to complete each statement in Exercises 9–14.

As $x\to 1^{-},f\left(x\right){\to }_{{}_{}}$______

Find the horizontal asymptote of each function.

$f\(\left\)(x\(\right\))=\(\frac{x^2+4x}{2x^3+8x^2}\)$

Find the domain of each rational function. g(x)=3x²/(x−5)(x+4)

Find the domain of each rational function. h(x)=(x+7)/(x²−49)

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

There may be more than one correct choice. Which choices have domain (-∞, 3)U(3, ∞)?

Use the graph of the rational function in the figure shown to complete each statement in Exercises 9–14.

As $x\to -\infty ,f\left(x\right){\to }_{{}_{}}$_____

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

As $x\to 1^{+},f\left(x\right)\to$ __

Match the rational function in Column I with the appropriate description in Column II. Choices in Column II can be used only once.

$\text{ƒ}\left(x\right)=\frac{(x+7)}{(x+1)}$

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)