Lesson 1.1: Functions and Continuity

Front

Function

Back

A relationship between input and output values.

Front

Domain

Back

The set of x-values (inputs) to be evaluated by a function.

Front

Range

Back

The set of y-values (outputs) that actually result from the evaluation of the function.

Front

One-to-one

Back

A function where each element of the range (outputs) is paired with exactly one element of the domain (inputs).

Front

Continuous function

Back

A function graphed with a line or an unbroken curve.

Front

Discontinuous function

Back

A function that is not continuous. Has holes, gaps, or breaks.

Front

Discrete function

Back

A discontinuous function where points are not connected.

Front

Set notations

Back

Set-builder, interval, and algebraic notations are concise ways to write a set of values.

Front

Algebraic notation

Back

Sets are described using algebraic expressions. Example: x < 2

Front

Set-builder notation

Back

Uses braces and symbols like | (such that) and ∈ (is an element of). Example: {x|x < 2}.