1B. Polynomial and Rational Functions
United States of America
AP Precalculus
1.7 Rational functions and end behavior
Interactive practice questions
Consider the rational function $f\left(x\right)=\frac{1}{x^2-4}$f(x)=1x2−4.
a
State the domain of the function.
b
Determine the limiting value of the function as $x$x approaches $\infty$∞.
c
The graph of the function is shown below. Using this and your answer from part (b), what is the range of the function?
Loading Graph...
$\left(-\infty,2\right)\cup\left(2,\infty\right)$(−∞,2)∪(2,∞)
A
$\left(-\infty,-\frac{1}{4}\right]\cup\left(0,\infty\right)$(−∞,−14]∪(0,∞)
B
$\left(0,\infty\right)$(0,∞)
C
Medium
3min
Consider the function $f\left(x\right)$f(x) that has been graphed.
Medium
1min
Consider the reciprocal function: $y=\frac{1}{x}$y=1x
Medium
1min
Consider the reciprocal function: $y=\frac{5}{x}$y=5x
Medium
1min
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