Symbol
Problem
8. If the degree of the leading coefficient of the numerator is equal rational to the degree of the leading coefficient of the denominator of a function, which of the following statements has to be true a. The graph has no asymptote b. The graph of the function has slant asymptote c. The graph of the function has a horizontal asymptote d. None of the above 9. What is the horizontal asymptote of $f\left(x\right)=\dfrac {x+5} {3x^{2}}2$ a. $y=3$ b. $y=0$ y = - 2 c. d. $y=-3$ 10. What is the vertical asymptote of $f\left(x\right)=\dfrac {3x+1} {x-5}2$ a. $x=5$ b. $\times =3$ C. $x=1$ d. $x=0$ 11. What is the oblique asymptote of $f\left(x\right)=\dfrac {x^{2}-3x} {x+3}2$ a. $y=3x$ b. $y=x-6$ c. $y=x-3$ d. $y=3x+6$ 12. Oblique asymptote occurs when there is no horizontal asymptote, the statement is a. Always true b. Sometimes true c. Never true d. Cannot be determined 13. How will you describe the horizontal asymptote of $f\left(x\right)=\dfrac {3} {3+x}7$ a. does not exist b. approaching at $x=3$ c. approaching $aty=-3$ d. approaching at $y=0$