Sample quiz on reciprocal of quadratic functions
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- What is the horizontal asymptote of the rational function $\frac{1}{(x-1)(x+1)}$?
- What is(are) the vertical asymptote(s) of the rational function $\frac{1}{x^2-4}$?
- What is the domain of the rational function $\frac{1}{x^2+9}$?
- What is the $y$-intercept of the rational function $\frac{1}{(2x-3)(x+1)}$?
- As $x\rightarrow -4^{+}$, the rational function $\frac{1}{x^2-16}$ approaches what value?
- If $x=-2$ is one of the vertical asymptotes of the rational function $\frac{1}{x^2+bx-8}$, what is the value of $b$?
- Find the range of $\frac{-1}{x^2+1}$.
- Find the value of $k$ for which $\frac{k}{(x+2)(x-1)}$ contains the point $(-1,-1)$.
- Within what interval is the function $\frac{1}{x^2-8x+16}$ negative?
- What is the equation of the reciprocal of a quadratic function with vertical asymptotes at $x=-2$ and $x=3$?