5.1: Is This a Function? (Mapping Diagrams)

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y) for every input (x).

Front

True or False: A function can have multiple outputs for a single input.

Back

False

Front

What is a mapping diagram?

Back

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

Front

Is the following relation a function? (x: 1, 2, 3; y: 4, 5, 5)

Back

Yes, because each x-value has only one y-value paired with it.

Front

Is the following relation a function? (x: 1, 2, 2; y: 3, 4, 5)

Back

No, because the x-value 2 has two y-values (4 and 5) paired with it.

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 (x) is associated with more than one output (y).

Front

Function or Relation: (x: 1, 2, 3; y: 2, 2, 2)

Back

Function, because each x-value has only one y-value.

Front

Function or Relation: (x: 1, 2, 2; y: 3, 4, 4)

Back

Not a Function, because the x-value 2 has two y-values (4 and 4) paired with it.

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 intersects the graph at more than one point, it is not a function.

Front

If a function has an input of 5 and an output of 10, what is the relationship?

Back

The relationship is that for the input x=5, the output y=10.