Practice Summary (9) - Rational Functions - IB 10 Mathematics

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10 questions

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6 sample questions

Question 1.
Find the domain of $f(x) = \frac{2x}{x + 5}$ .
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What value makes the denominator zero?
Question 2.
What is the x-intercept of $f(x) = \frac{x + 1}{x - 3}$ ?
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Set the numerator equal to zero.
3Question 3.
What is the form of a rational function?
- A single polynomial
- A ratio of two polynomials
- An exponential function
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Remember the general form of rational functions.
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 what happens during division.
Question 5.
Consider the function $f(x) = \frac{x^2 - 1}{x^2 - 2x + 1}$ . Find the domain, vertical asymptotes, horizontal asymptotes, and sketch the graph.
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Factor both the numerator and denominator before identifying the features.
Question 6.
Solve the rational equation $\frac{2x + 1}{x + 1} = \frac{3}{x - 1}$ .
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Set up the equation correctly before isolating x.

6 more questions in this section. Enroll free to practise them all.