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Graphic Organizer: Functions - Coggle Diagram
Graphic Organizer: Functions
Definition of a function
a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Vertical Line Test
The vertical line test is used to determine whether a graph is a function.
Domain and Range
Domain
All the possible inputs of a function
Located on the x-axis
Range
All the possible outputs of a function
Located on the y-axis
Linear functions
How to identify a linear function.
Two ways to identify a linear function are to check if it's a straight line, because linear functions are always straight lines, and to check if multiple pointes give the same slope.
Slope
What is it?
The slope defines the "steepness" of a line
How to find it.
Rise/Run
Y-intercept
What is it
The location where a function crosses the y-axis
Composition of Function
When the output, or result, of one function becomes the input of another function.
Applications
A vending machine: The user puts in money, punches a specific button, and a specific item drops into the output slot.
https://www.educationworld.com/a_curr/mathchat/mathchat010.shtml
How much fuel a plane can waste. depending of how long the plane flies, the more fuel it wastes. There is a specific amout of fuel fo a specific distance.
Inverse Functions
An equation that reverses the previous function
