Practice Vertical Asymptotes (4.1) - Rational Functions - IB 10 Mathematics

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9 questions

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Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Identify the vertical asymptote of f(x) = 2/(x+3).
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Set the denominator to zero.
Question 2.
Does f(x) = (3x + 2)/(x-5) have a vertical asymptote? If so, where?
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Find the value that makes the denominator zero.
3Question 3.
What is a vertical asymptote?
- A point where the graph touches the x-axis
- A line where function approaches infinity
- A type of horizontal line
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Think about where the function is undefined.
4Question 4.
True or False: A rational function can have more than one vertical asymptote.
- True
- False
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Consider a scenario with multiple factors in the denominator.
Question 5.
Identify the vertical asymptotes for the function f(x) = (2x^2 - 8)/(x^2 - 4).
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Don’t forget to simplify the function first.
Question 6.
Given the function f(x) = (x^2 - 1)/(x^2 - x - 6), find all vertical asymptotes and discuss the significance.
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Look if the numerator’s factors cancel before concluding.

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