Practice Function in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A function is a rule that assigns to each input in the domain exactly one output in the codomain — every input maps to precisely one output, never two.
A machine: put something in, get exactly one thing out. Same input always gives same output.
Showing a random 20 of 50 problems.
Example 1
mediumFor , find .
Example 2
mediumGiven , find and determine if is a function.
Example 3
easyIs the set a function?
Example 4
challengeIf and , , find .
Example 5
challengeHow many functions are one-to-one?
Example 6
easyIf , find .
Example 7
easyIf , find .
Example 8
mediumIf , compute .
Example 9
mediumIf , find .
Example 10
hardIf , find , simplified.
Example 11
hardState the domain of .
Example 12
easyDoes the rule 'add 3 to the input' define a function?
Example 13
mediumIf and , find .
Example 14
easyIf , what is ?
Example 15
easyTrue or false: a function can have two different inputs that share the same output.
Example 16
mediumA function satisfies . For which input is ?
Example 17
mediumA function satisfies . Find .
Example 18
challenge is defined on integers by and . Find .
Example 19
easyIs the set a function?
Example 20
easyIf , find .