Algebra 1: Chapter 3 Vocabulary (copy)

a function that contains an absolute value expression

a linear equation written in the form y = 0x + b, or y = b

a set of input values that consist of all numbers in an interval

the variable that represents output values of a function

a set of input values that consists of only certain numbers in an interval

the set of all possible input values of a function

a group of functions with similar characteristics

a relation that pairs each input with exactly one output

another name for y denoted as f(x) and read as “the value of f at x” or “f of x”

a transformation that causes the graph of a function to shrink toward the y-axis when all the x-coordinates are multiplied by a factor a, where a > 1

a transformation that causes the graph of a function to stretch away from the y-axis when all the x-coordinates are multiplied by a factor a, where 0 < a < 1

the variable that represents the input values of a function

an equation that can be written in the form y = mx + b, where m and b are constants

a function whose graph is a nonvertical line

a function that does not have a constant rate of change and whose graph is not a line

the most basic function in a family of functions

the set of all possible output values of a function

a transformation that flips a graph over a line called the line of reflection

a pairing of inputs with outputs

the change in y between any two points on a line

the change in x between any two points on a line

the rate of change between any two points on a line

a linear equation written in the form y = mx + b

an ordered pair (x, y) that makes an equation true

a linear equation written in the form Ax + By = C, where A, B, and C are real numbers and A and B are both not zero

a change in the size, shape, position, or orientation of a graph

a transformation that shifts a graph horizontally and/or vertically but does not change the size, shape, or orientation of the graph

the point where a graph changes direction

an absolute value function written in the form f(x) = a

a transformation that causes the graph of a function to shrink toward the x-axis when all the y-coordinates are multiplied by a factor a, where 0 < a < 1

a transformation that causes the graph of a function to stretch away from the x-axis when all the y-coordinates are multiplied by a factor a, where a > 1

the x-coordinate of a point where the graph crosses the x-axis

the y-coordinate of a point where the graph crosses the y-axis