About this unit A function is like a machine that takes an input and gives an output. Let's explore how we can graph, analyze, and create different types of functions. Unit guides are here! Power up your classroom with engaging strategies, tools, and activities from Khan Academy’s learning experts. PDF
This topic covers: - Evaluating functions - Domain & range of functions - Graphical features of functions - Average rate of change of functions - Function combination and composition - Function transformations (shift, reflect, stretch) - Piecewise functions - Inverse functions - Two-variable functions
A function is like a machine that takes an input and gives an output. Let's explore how we can graph, analyze, and create different types of functions.
Equations and functions are not the same thing, but they can be related in several ways. Watch Jesse Roe and Sal talk about the difference between equations and functions.
What are rational functions? How do we plot them? What is their domain and range? Let's find out. We break down the definition of the function given in set-builder form and plot the graph by connecting points on the cartesian plane. Domain and Range is calculated through visually observing the graph.
We've defined the functions for you, because we thought they'd be useful, and now it's up to you to decide what custom functions you want to use in your own programs.
Functions are defined within the real number system as this is what is used the majority of the time. We graph functions within the coordinate plane. Each number line in the coordinate plane represents the set of real numbers.