Rational and Radical Functions

Vocabulary

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

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

relationship for variables

x

and

y

and constant

k

that can be written as:

y = \frac{k}{x}

Related Sections:

x-c

is a factor of a polynomial function, the multiplicity of the zero

x=c

is the number of times that the factor appears, or the exponent of the factor.

Related Sections:

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

f(x)=\sqrt[\scriptsize{n}]{p(x)}

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

f(x)=\frac{p(x)}{q(x)}

Related Sections:

function in the form:

f(x)=\frac{1}{x}