Algebra II: Chapter 2 Vocabulary

absolute value function

A function of the form f(x) = |mx + b| +c, where m ≠ 0, is an _____.

constant of variation

The value of k in the direct variation y = kx or the value of k in the indirect variation xy+k. A combined variation also has a _____.

dependent variable

In a linear equation such as y = 3x + 2, y is called the _____ because it depends on the value of x.

direct variation

A linear function defined by an equation of the form y = kx, where k ≠ 0, represents _____.

domain

The _____ of a relation is the set of all inputs, or x-coordinates, of the ordered pairs.

function

A _____ is a relation in which each elemnt of the domain is paired with exactly one element of the range.

function notation

You read the _____ f(x) as "f of x" or "a function of x." Note that f(x) does not mean "f times x.

independent variable

In a linear equation such as y = 3x + 2, x is called the _____.

linear equation

A _____ is an equation that represents a linear function.

linear function

A function whose graph is a line is a _____. You can represent a _____ with a linear equation.

linear inequality

A _____ is an inequality in two variables whose graph is a region of the coordinate plane that is bounded by a line. Each point in the reguons is a solution of the inequality. A sign of ≤ or ≥ indicates a solid boundary line. A sign of < or > indicates a dashed boundary line.

mapping diagram

A _____ describes a relation by linking elements of the domain with elements of the range.

parent function

A family of functions is a group of functions with common characteristics. A _____ is the simplest function with these characteristics.

point-slope form

The _____ of an equation of a line is y - y1 = m(x - x1, where m is the slope of the line and (x1, y1)is a point on the line.

range

The _____ of a relation is the set of all outputs or y-coordinates of the ordered pairs.

relation

A _____ is a set of pairs of input and output values.

scatter plot

A _____ is a graph that relates two different sets of data by plotting the data as ordered pairs. You can use a _____ to determine a relationship between the data sets.

slope

The _____ of a non-vertical line is the ratio of the vertical change to a corresponding horizontal change. The _____ of a vertical line is undefined.

slope-intercept form

The ____ of an equation of a line is y = mx + b, where m is the slope and b is the y-intercept.

standard form

The _____ of a linear equation is Ax + By = C, where A, B, and C are real numbers, and A and B are not both zero.

translation

A _____ is a transformation that slides a graph or figure horizontally, vertical, or both without changing the size or shape of the graph or figure.

trend line

A _____ is a line that approximates the relationship between the data sets of a scatter plot. You can use a _____ to make predictions.

vertex

The _____ of a function is a point where the function reaches a maximum or minimum.

vertical-line test

You can use the _____ to determine whether a relation has at least one element of the domain paired with more than one element of the range. If a vertical line passes through two or more points on the graph, then the relation is not a function.

x-intercept

The point at which a line crosses the x-axis (or the x-coordinate of that point) is an _____.

y-intercept

The point at which a line crosses the y-axis (or the y-coordinate of that point) is a _____.