Practice - Graphing Rational Functions
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Practice Questions
Test your understanding with targeted questions
Find the domain of f(x) = 1/(x+4).
💡 Hint: What value makes the denominator zero?
What is the x-intercept of f(x) = (x-5)/(x+1)?
💡 Hint: Set the numerator equal to zero.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is a rational function?
💡 Hint: Think of functions that involve fractions.
The domain of f(x) = 1/(x+5) must exclude which value?
💡 Hint: Set the denominator equal to zero to find this value.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
For the function f(x) = (3x^2 + 9)/(x^2 - 5), find the vertical and horizontal asymptotes, as well as the intercepts.
💡 Hint: Remember to factor and simplify for intercepts.
Sketch the graph of g(x) = (x^3 - 6x)/(x^2 - 4). Identify all intercepts and asymptotes.
💡 Hint: Factor the numerator for intercepts.
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Reference links
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