Function Representations

Front

Which graph doesn't represent a function?

Back

Graph c does not represent a function because it fails the vertical line test.

Front

Which set of values is a function? (9,5) (10,5) (9,-5) (10,-5), (3,4) (4,-3) (7,4) (3, 8), (6,-5) (7, -3) (8, -1) (9, 1), (2, -2) (5, 9) (5, -7) (1, 4)

Back

The set (6,-5) (7, -3) (8, -1) (9, 1) is a function because each x-value is unique.

Front

Is this mapping diagram a function?

Back

No, it is not a function if any x-value is paired with more than one y-value.

Front

Which is another name for the x-value?

Back

Input.

Front

Is this set of ordered pairs a function or not a function? (2,3) (3,4) (4,5) (5,6)

Back

This set is a function because each x-value is unique.

Front

What is the definition of a function?

Back

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

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

What are ordered pairs?

Back

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

Front

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

Back

It means that for every input, there is one and only one output.

Front

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values, as long as each x-value is unique.