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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Find the domain of f(x) = 1/(x+4).
💡 Hint: What value makes the denominator zero?
Question 2
Easy
What is the x-intercept of f(x) = (x-5)/(x+1)?
💡 Hint: Set the numerator equal to zero.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is a rational function?
💡 Hint: Think of functions that involve fractions.
Question 2
The domain of f(x) = 1/(x+5) must exclude which value?
- -5
- 5
- 0
💡 Hint: Set the denominator equal to zero to find this value.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
Sketch the graph of g(x) = (x^3 - 6x)/(x^2 - 4). Identify all intercepts and asymptotes.
💡 Hint: Factor the numerator for intercepts.
Challenge and get performance evaluation