Identifying Functions

Front

What is a function?

Back

A function is a relation where each input (x-value) is associated with 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 crosses the graph at more than one point, it is not a function.

Front

Which of the following is NOT a function? Graph 1, Graph 2, Graph 3, Graph 4?

Back

Graph 1 is NOT a function.

Front

How do you determine if a relation is a function?

Back

A relation is a function if the vertical line test crosses only one point on the graph.

Front

Which set of ordered pairs 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

{(6,-5), (7, -3), (8, -1), (9, 1)} is a function.

Front

What does it mean for a relation to be one-to-one?

Back

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

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 maps to only one y-value.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each x-value has a unique y-value.

Front

What is a non-function?

Back

A non-function is a relation where at least one input (x-value) is associated with more than one output (y-value).

Front

What is the definition of ordered pairs?

Back

Ordered pairs are pairs of numbers (x, y) that represent a point in a coordinate system.