1B. Polynomial and Rational Functions
United States of America
AP Precalculus
1.10 Rational functions and holes
Interactive practice questions
Consider the rational function $f\left(x\right)=\frac{\left(x-1\right)^2\left(x+3\right)\left(x-4\right)}{\left(x-1\right)\left(x+3\right)}$f(x)=(x−1)2(x+3)(x−4)(x−1)(x+3).
State the domain of the function using interval notation.
Medium
1min
Consider the rational function $f\left(x\right)=\frac{x-5}{x^2+3x-40}$f(x)=x−5x2+3x−40.
Medium
2min
Consider the rational function $f\left(x\right)=\frac{x^2+5x-14}{x^2+12x+35}$f(x)=x2+5x−14x2+12x+35.
Medium
2min
Given that the domain of a function is $\left(-\infty,-6\right)\cup\left(-6,3\right)\cup\left(3,\infty\right)$(−∞,−6)∪(−6,3)∪(3,∞), which of the following could be the equation of the function?
Medium
< 1min
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