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Range (Functions)

Range (Functions)

One-page printable reference

See It in Action

Two examples of the idea done right—and one common look-alike that is not right.

EXAMPLE

EXAMPLE

NON-EXAMPLE

Definition

The range of a function is all the possible results, or outputs (often represented by y or f(x), you can get when you put different numbers into the function.


Think of it like this:

  • Imagine you have a function like f(x) = x^2. If you put different numbers in for x, you get different results. For example, if you put in 2, you get 4; if you put in -3, you get 9.

  • With this function, you’ll only get positive numbers or zero as results because squaring any number can never give a negative number.


So, the range is just the set of all possible answers you can get from the function.

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