Identifying Functions

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

How can you tell if a table represents a function?

Back

A table represents a function if no x-value is repeated with different y-values.

Front

What does it mean for a mapping to be a function?

Back

A mapping is a function if each input is paired with only one output.

Front

Identify if the following set is a function: {(1,2), (2,3), (3,4)}

Back

Yes, this set is a function because each input has one output.

Front

Identify if the following set is a function: {(1,2), (1,3), (2,4)}

Back

No, this set is not a function because the input '1' has two different outputs.

Front

What is the vertical line test?

Back

The vertical line test states that if a vertical line intersects a graph at more than one point, the graph does not represent a function.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

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

Back

f(2) = 2(2) + 3 = 7.