13 terms

stacyleibyTEACHER

rational function

A function written in the form f(x)=(p(x)) / (q(x)), where p(x) and q(x) are polynomials and q(x)≠0

numerator

The top part of a fraction

denominator

The bottom part if a fraction

point of discontinuity

The x-coordinate of a point where the graph of a function breaks, and your pencil must be lifted to retrace the graph

vertical asymptote

A vertical line that serves as a boundary for a region of the graph

hole

A point missing from a graph due to a common factor that will cancel from both the numerator and denominator of a rational function

horizontal asymptote

A horizontal line that serves as a boundary for sections of a rational function graph

x-intercept

A point on the x-axis where the graph touches or crosses the x-axis

test point

A number value that is used to test the behavior of a function in a particular region

least common multiple

The least expression that is a common multiple of given expressions

least common denominator

The expression that is the least common multiple of given denominators

rational equation

An equation where the variable is in a rational function term

extraneous solution

A solution of a simplified version of an equation that is not a solution of the original equation