Function or Not a Function

Front

What is a function?

Back

A relation where each input (x value) has exactly one output (y value).

Front

What is the vertical line test?

Back

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 does it mean for a relation to not be a function?

Back

It means that at least one input (x value) is associated with more than one output (y 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 has only one y value.

Front

What is an ordered pair?

Back

A pair of numbers (x, y) that represents a point in a coordinate system.

Front

Which of the following is a function: {(1, 2), (1, 3), (2, 4)}?

Back

No, because the x value 1 is associated with two different y values (2 and 3).

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

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

Back

f(2) = 2(2) + 3 = 7.

Front

What is a mapping diagram?

Back

A visual representation that shows how each element of the domain is paired with an element of the range.