Intro to Functions

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value.

Front

What does it mean for a relation to be 'not a function'?

Back

A relation is not a function if at least one input value is associated with more than one output value.

Front

Identify the function: (2, 3), (3, 4), (2, 5)

Back

Not a Function (input 2 has two outputs: 3 and 5).

Front

Identify the function: (1, 2), (2, 3), (3, 4)

Back

Function (each input has a unique output).

Front

What is an example of a function?

Back

f(x) = 2x + 3 is a function because for every x, there is one corresponding y.

Front

What is an example of a non-function?

Back

The relation {(1, 2), (1, 3)} is not a function because the input 1 has two outputs.

Front

What is a vertical line test?

Back

A method to determine if a relation is a function by checking if any vertical line intersects the graph more than once.

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output value is associated with exactly one input value.