Function vs. Non-function

Front

What is a function?

Back

A relation where every input (x-value) has exactly one output (y-value).

Front

What is a non-function?

Back

A relation where at least one input (x-value) has more than one output (y-value).

Front

Identify if this mapping is a function: (1,2), (1,3), (2,4).

Back

Not a Function (1 maps to both 2 and 3).

Front

Identify if this mapping is a function: (1,2), (2,3), (3,4).

Back

Function (each input has a unique output).

Front

What is the vertical line test?

Back

A method to determine if a relation is a function by checking if a vertical line intersects the graph at more than one point.

Front

Which of the following is NOT a function? (2,3), (2,4), (3,5)

Back

(2,3), (2,4) (2 maps to both 3 and 4).

Front

What is the domain of a function?

Back

The set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The set of all possible output values (y-values) for the function.

Front

If a function is defined as f(x) = x^2, what is f(3)?

Back

f(3) = 9.

Front

What is a one-to-one function?

Back

A function where each output is mapped to by exactly one input.