Math 3 EOC: Rational Functions

Front

What is a Vertical Asymptote?

Back

A vertical line that a graph approaches but never touches, indicating where a function is undefined.

Front

What are discontinuities in a rational function?

Back

Points where the function is not defined, which can be holes or vertical asymptotes.

Front

Define an ASYMPTOTE.

Back

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

Front

Back

Front

When do holes occur in a rational function?

Back

When a factor in the denominator cancels with a factor in the numerator.

Front

What is the general form of a rational function?

Back

Front

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

Back

Compare the degrees of the numerator and denominator: If degree of P < degree of Q, y=0; if equal, y= leading coefficient of P / leading coefficient of Q.

Front

What is the significance of the numerator in a rational function?

Back

It determines the x-intercepts of the function.

Front

What is the significance of the denominator in a rational function?

Back

It determines the vertical asymptotes and points of discontinuity.

Front

How do you determine the x-intercepts of a rational function?

Back

Set the numerator equal to zero and solve for x.