Asymptotes & Holes

Front

What is an ASYMPTOTE?

Back

A line that a curve approaches, as it heads towards infinity.

Front

What determines the horizontal asymptote when the exponents in the numerator and denominator are equal?

Back

The horizontal asymptote is the ratio of the leading coefficients.

Front

What type of asymptote is determined by looking at the denominator?

Back

Vertical asymptotes.

Front

Back

Front

What is the x-intercept of the function after reduction?

Back

Front

What happens to the function as it approaches a vertical asymptote?

Back

The function tends to infinity or negative infinity.

Front

What is a hole in a graph?

Back

A point where a function is not defined due to a factor that cancels in the numerator and denominator.

Front

How do you find the vertical asymptote of a rational function?

Back

Set the denominator equal to zero and solve for x.

Front

What is the significance of the leading coefficient in determining horizontal asymptotes?

Back

It helps to find the horizontal asymptote when the degrees of the numerator and denominator are equal.

Front

If the degree of the numerator is less than the degree of the denominator, what is the horizontal asymptote?

Back