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
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.
Inputs and outputs of a function Learn Worked example: matching an input to a function's output (equation) Worked example: matching an input to a function's output (graph) Worked example: two inputs with the same output (graph)
The function f is defined as follows: f of t is equal to negative two t plus five. So whatever we input into this function, we multiply it times negative two, and then we add five.
This topic covers: - Intercepts of linear equations/functions - Slope of linear equations/functions - Slope-intercept, point-slope, & standard forms - Graphing linear equations/functions - Writing linear equations/functions - Interpreting linear equations/functions - Linear equations/functions word problems
The function notation allows us to specify what function and input(s) we are using in math statements, making things more orderly and concise especially when you are dealing with multiple equations/functions.
Where ever input thresholds (or boundaries) require significant changes in output modeling, you will find piece-wise functions. In your day to day life, a piece wise function might be found at the local car wash: $5 for a compact, $7.50 for a midsize sedan, $10 for an SUV, $20 for a Hummer.
A function takes an input and produces an output. In function notation, f (x) , f is the name of the function, x is the input variable, and f (x) is the output.
