Rational TEST Review

Front

What is a hole in a rational function?

Back

A hole occurs in a rational function when a factor in the numerator and denominator cancels out, indicating that the function is undefined at that point.

Front

Back

Front

What is a vertical asymptote (V.A.)?

Back

Front

How can you tell if a factor in the denominator is a hole instead of a vertical asymptote?

Back

If the graph crosses the asymptote, there is a hole.

Front

What are the steps to find vertical asymptotes?

Back

1. Factor the denominator. 2. Set the factors equal to zero. 3. Solve for x.

Front

What is the horizontal asymptote of a rational function?

Back

Front

How do you determine the horizontal asymptote?

Back

Front

What does it mean if a function has no vertical asymptotes?

Back

It means the function does not approach infinity or negative infinity for any value of x.

Front

What is the significance of the x-intercept in a rational function?

Back

The x-intercept is the point where the function crosses the x-axis, found by setting the numerator equal to zero.

Front

How do you find the x-intercept of a rational function?

Back

Set the numerator equal to zero and solve for x.