Function Notation

We're going to graph some functions that we will use alot this semester. Our book calls them the Toolkit Functions. You should have a general idea of what these graphs look like and be able to graph them by hand when needed.

Constant Function

$LaTeX: f\left(x\right)=c\:$ where c is a constant.

Video

Watch this video to see how the Constant Function is graphed.

Identity Function

$LaTeX: f\left(x\right)=x$

Video

Watch this video to see how the Identity Function is graphed.

Absolute Value Function

$LaTeX: f\left(x\right)=\left|x\right|$

Video

Watch this video to see how the Absolute Value Function is graphed.

Quadratic Function

$LaTeX: f\left(x\right)=x^2$

Video

Watch this video to see how the Quadratic Function is graphed.

Cubic Function

$LaTeX: f\left(x\right)=x^3$

Video

Watch this video to see how the Cubic Function is graphed.

Reciprocal Function

$LaTeX: f\left(x\right)=\frac{1}{x}$

Video

Watch this video to see how the Reciprocal Function is graphed.

Reciprocal Squared Function

$LaTeX: f\left(x\right)=\frac{1}{x^2}$

Video

Watch this video to see how the Reciprocal Squared Function is graphed.

Square Root Function

$LaTeX: f\left(x\right)=\sqrt{x}$

Video

Watch this video to see how the Square Root Function is graphed.

Cube Root Function

$LaTeX: f\left(x\right)=\sqrt[3]{x}$

Video

Watch this video to see how the Cube Root Function is graphed.

Piecewise Functions

Piecewise functions are functions that need multiple equations, or pieces, to define them. We will graph these in pieces, using what we know about the Toolkit functions and by plotting points.

Video

Watch this video on graphing piecewise defined functions.