Functions and Graphs

transformation that moves each point of a graph closer to the $x$- or $y$-axis by a scale factor that is between zero and 1

function with all the same output values

function in which the $y$-values decrease as the $x$-values increase

set of the first coordinates of the ordered pairs in a function

set of the first coordinates of the ordered pairs in a relation

function with a graph that is symmetric with respect to the $y$-axis

relation in which each element of the domain corresponds to exactly one element of the range

point where the value of a function is greatest

point where the value of a function is least

function in which the $y$-values increase as the $x$-values increase

value in the domain of a function

turning point where a graph changes from increasing to decreasing

turning point where a graph changes from decreasing to increasing

greatest value in the range of a function

least value in the range of a function

function with a graph that is symmetric with respect to the origin

value in the range of a function

function from a certain category of functions with the simplest algebraic rule

function that has different rules applied to different intervals in the domain

set of the second coordinates of the ordered pairs in a function

set of the second coordinates of the ordered pairs in a relation

transformation in which a graph is flipped across a line

set of ordered pairs

transformation that moves each point of a graph farther away from the $x$- or $y$-axis by a scale factor that is greater than 1

change of the graph of a function

transformation in which a graph is moved vertically or horizontally

point where a graph changes from increasing to decreasing or from decreasing to increasing

test that uses vertical lines on a graph to determine whether a relation is a function. If any vertical line intersects the graph in more than one point, the graph does not represent a function.