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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 Power up your classroom with engaging strategies, tools, and activities from khan academy’s learning experts Rearranging to solve for the variable you want to measure, you get a function (as long as there's not multiple outputs for any input) Functions involve anything with an independent and dependent variable

Inputs and outputs of a function learn worked example Matching an input to a function's output (equation) 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.

Based on this definition, a function does not need to be an equation

H (x) = { (1,2) The range of a function is the set of all possible outputs the function can produce Some functions (like linear functions) can have a range of all real numbers, but lots of functions have a more limited set of possible outputs. Functions are the equations to get an input (x) to an output (which is y or f (x))

Functions assign a single output for each of their inputs In this video, we see examples of various kinds of functions. In general, a function is invertible only if each input has a unique output That is, each output is paired with exactly one input

That way, when the mapping is reversed, it will still be a function

Here's an example of an invertible function g Notice that the inverse is indeed a function.

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