Identifying Functions

Front

What is a function?

Back

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

Front

How can you tell if a mapping diagram represents a function?

Back

A mapping diagram represents a function if each input value is connected to only one output value.

Front

What does it mean if a table does not represent a function?

Back

A table does not represent a function if at least one input value corresponds to multiple output values.

Front

What are ordered pairs?

Back

Ordered pairs are pairs of numbers (x, y) that represent coordinates on a graph.

Front

Do the ordered pairs (1, 2), (1, 3), (2, 4) represent a function?

Back

No, because the input value 1 corresponds to two different output values (2 and 3).

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if a vertical line crosses the graph more than once, it is not 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 a domain in a function?

Back

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

Front

What is a range in a function?

Back

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

Front

If a function is represented by the equation y = 2x + 3, what is the output when x = 4?

Back

The output is y = 2(4) + 3 = 8 + 3 = 11.