Lesson 1.2: Functions, Intercepts, and Continuity

Front

Linear Function

Back

In a linear function, no variable is raised to a power other than 1. It can be written in the form f(x) = mx + b, where m and b are real numbers.

Front

Linear Equations

Back

Linear functions can be represented by linear equations, which can be written in the form Ax + By = C. The graph of a linear equation is a straight line.

Front

Nonlinear Function

Back

A function that is not linear is called a nonlinear function. The graph includes a set of points that cannot all lie on the same line.

Front

Intercept

Back

A point at which the graph of a function intersects an axis is called an intercept. An x-intercept is where the graph crosses the x-axis, and a y-intercept is where it crosses the y-axis.

Front

Symmetry

Back

A figure has symmetry if there exists a rigid motion—reflection, translation, rotation, or glide reflection—that maps the figure onto itself.

Front

Even Functions

Back

Functions that have line symmetry with respect to the y-axis are called even functions.

Front

Odd Functions

Back

Functions that have point symmetry with respect to the origin are called odd functions.