composition of functions
operation of combining two functions by using the output of one as the input for the other
domain of a function
set of the first coordinates of the ordered pairs in a function
function
relation in which each element of the domain corresponds to exactly one element of the range
horizontal line test
test that uses horizontal lines to determine whether a function is one-to-one. If any horizontal line intersects the graph in more than one point, the graph is not one-to-one.
identity function
function for which the output is equal to the input
input
value in the domain of a function
inverse function
result of switching the inputs and outputs of a function when the result is also a function. The composition of a function and its inverse is the identity function.
one-to-one function
function in which each output corresponds to exactly one input
output
value in the range of a function
range of a function
set of the second coordinates of the ordered pairs in a function