Consider the rational function $f\left(x\right)=\frac{1}{x^2-4}$f(x)=1x2−4.
State the domain of the function.
Determine the limiting value of the function as $x$x approaches $\infty$∞.
The graph of the function is shown below. Using this and your answer from part (b), what is the range of the function?
$\left(-\infty,2\right)\cup\left(2,\infty\right)$(−∞,2)∪(2,∞)
$\left(-\infty,-\frac{1}{4}\right]\cup\left(0,\infty\right)$(−∞,−14]∪(0,∞)
$\left(0,\infty\right)$(0,∞)
Consider the function $f\left(x\right)$f(x) that has been graphed.
Consider the reciprocal function: $y=\frac{1}{x}$y=1x
Consider the reciprocal function: $y=\frac{5}{x}$y=5x