Practice Domain Of Rational Functions (2) - Rational Functions - IB 10 Mathematics

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9 questions

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2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
For $h(x) = \frac{2}{x + 3}$ , what is the domain?
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Set the denominator to zero and solve.
Question 2.
Determine the domain for $f(x) = \frac{x^2 - 1}{x - 4}$ .
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Find the value that makes the denominator zero.
3Question 3.
What is the domain of $f(x) = \frac{2}{x - 1}$ ?
- All real numbers
- All real numbers except 1
- Only 1
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Find where the denominator is zero.
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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Recall the definition of a rational function.
Question 5.
Determine the domain of $q(x) = \frac{x^2 + 1}{x^3 - 8}$ .
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Factor the denominator and check where it equals zero.
Question 6.
For the function $r(x) = \frac{x-3}{x^2 + 5x + 6}$ , identify the domain.
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Set the denominator to zero and factor to find values.

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