13 terms

A2Vocab- Rational Functions

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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