Practice What Is A Rational Function? (1) - Rational Functions - IB 10 Mathematics

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10 questions

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6 sample questions

Question 1.
State the definition of a rational function.
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Think about how fractions are formed.
Question 2.
What is the domain of $f(x) = \frac{x + 1}{x - 4}$ ?
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What value makes the denominator zero?
3Question 3.
What is a rational function?
- A ratio of two integers
- A ratio of two polynomials
- A linear function
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Focus on the defining property of the function.
4Question 4.
True or False: The domain of a rational function can include values that make the denominator zero.
- True
- False
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Think about division by zero.
Question 5.
Determine the domain, intercepts, and asymptotes of the function $f(x) = \frac{x^2 - 1}{x^2 - 4}$ .
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Evaluate for restrictions, find zeros for intercepts, and check polynomial degrees.
Question 6.
Sketch the graph of $g(x) = \frac{x + 3}{x^2 - 9}$ . Mark the asymptotes and intercepts.
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Identify points and draw the function’s behavior approaching the asymptotes.

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