Chapter 2: Functions, Equations, and Graphs Review

Vocabulary flashcards covering relations, functions, linear forms, transformations, and absolute value graphs from Chapter 2.

Relation

A set of ordered pairs.

Domain

The set of $x$-coordinates of a relation.

Range

The set of $y$-coordinates of a relation.

Function

A relation where each element of the domain is paired with exactly one element of the range.

Slope-Intercept Form

A linear equation written in the form $y = mx + b$.

Point-Slope Form

A linear equation written in the form $y - y_{1} = m(x - x_{1})$.

Direct Variation

A linear equation of the form $y = kx$, where $k \neq 0$.

Constant of Variation

The non-zero constant $k$ in a direct variation equation ($y = kx$), equivalent to $\frac{y}{x} = k$.

Vertical Translation

A transformation of a function represented by the form $f(x) + k$.

Horizontal Translation

A transformation of a function represented by the form $f(x - h)$.

Stretch or Compression

A transformation of a function represented by the form $a f(x)$.

Reflection in the x-axis

A transformation of a function represented by $-f(x)$.

Reflection in the y-axis

A transformation of a function represented by $f(-x)$.

Parent Absolute Value Function

The base absolute value function given by the equation $y = |x|$.

Vertex (Absolute Value Function)

The point $(h, k)$ in the general absolute value function form $y = a|x - h| + k$.

Trend Line

A line or line of best fit whose equation is used to model data that cluster in a linear pattern.