Rational TEST Review

Front

What is a Vertical Asymptote?

Back

A vertical asymptote is a line that a graph approaches but never touches or crosses. It occurs where the function is undefined, typically where the denominator of a rational function equals zero.

Front

How do you find a hole in a rational function?

Back

A hole occurs in a rational function when a factor in the numerator and denominator cancels out. To find it, set the canceled factor equal to zero and solve for x.

Front

What is the Least Common Denominator (LCD)?

Back

The Least Common Denominator (LCD) is the smallest multiple that is common to the denominators of two or more fractions. It is used to combine fractions.

Front

How do you simplify a rational expression?

Back

To simplify a rational expression, factor both the numerator and the denominator, cancel out any common factors, and rewrite the expression.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined. It excludes values that make the denominator zero.

Front

What does it mean for a function to be undefined?

Back

A function is undefined at points where the denominator equals zero, as division by zero is not possible.

Front

What is a rational function?

Back

Front

What is the significance of the x-intercept?

Back

The x-intercept of a function is the point where the graph crosses the x-axis, indicating the value of x when the function equals zero.

Front

What is the significance of the y-intercept?

Back

The y-intercept of a function is the point where the graph crosses the y-axis, indicating the value of the function when x equals zero.

Front

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

Back

To find the x-intercepts, set the numerator of the rational function equal to zero and solve for x.