Vertical and Horizontal Asymptotes (HSC SSCE Mathematics Advanced): Flashcards

Denominator → 0 (vertical); $x$ very large (horizontal)

Very large number

Same sign as original (positive stays +, negative stays -)

$y = \frac{1}{x}$

$x$ approaches $a$ from the left

Denominator = 0, numerator ≠ 0 at $x = a$

Factor the function

Ratio of two polynomials

Divide by highest power of $x$ in denominator

Ratio of leading coefficients