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Rational and Radical Functions



line that a graph approaches as one of the variables approaches infinity or negative infinity

extraneous solution

solution of a step in solving that is not a solution of the original equation


missing value in a graph such that the graph approaches the same value on both sides

inverse variation

relationship for variables xx and yy and constant kk that can be written as:
y=kxy = \frac{k}{x}


If xcx-c is a factor of a polynomial function, the multiplicity of the zero x=cx=c is the number of times that the factor appears, or the exponent of the factor.

radical function

function whose rule can be written using an expression with a variable under a root, such as a square root or cube root:

rational function

function whose rule can be expressed as a fraction of two polynomials:

reciprocal function

function in the form: