Vertical and Horizontal Asymptotes (HSC SSCE Mathematics Advanced): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
When does become a vertical asymptote for a rational function?
When does become a vertical asymptote for a rational function?
Denominator = 0 and numerator ≠ 0 at
What is the reciprocal of a very small number?
What is the reciprocal of a very small number?
A very large number
What is the sign of the reciprocal of a negative number?
What is the sign of the reciprocal of a negative number?
Negative
For , what happens as ?
For , what happens as ?
What does the notation mean?
What does the notation mean?
approaches 3 from the right
To find horizontal asymptotes, divide numerator and denominator by what?
To find horizontal asymptotes, divide numerator and denominator by what?
Highest power of in denominator
If numerator and denominator have equal degree, where is the horizontal asymptote?
If numerator and denominator have equal degree, where is the horizontal asymptote?
At ratio of leading coefficients
If the numerator has higher degree than denominator, what happens?
If the numerator has higher degree than denominator, what happens?
No horizontal asymptotes
What should you do first when finding vertical asymptotes?
What should you do first when finding vertical asymptotes?
Factor the function
Asymptotes commonly appear in functions involving what?
Asymptotes commonly appear in functions involving what?
Algebraic fractions