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-values are repeated.

Front

What does it mean if a mapping has repeated x-values?

Back

If a mapping has repeated x-values, it is not a function because one input cannot have multiple outputs.

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), (2, 3), (3, 4) represent a function?

Back

Yes, because each x-value is unique.

Front

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

Back

No, because the x-value '1' is associated with two different y-values.

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 a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs in a function.

Front

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

Back

f(3) = 3 + 2 = 5.