Identifying Functions

Front

What is a function?

Back

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

Front

When is y a function of x?

Back

y is a function of x when every x value has only one corresponding y value.

Front

What does it mean if a table is not a function?

Back

A table is not a function if at least one x value is paired with more than one y value.

Front

Identify a value of x that makes this table not a function: (1, 2), (1, 3), (2, 4).

Back

1 is the value of x that makes this table not a function.

Front

In a mapping, how can you tell if y is a function of x?

Back

y is a function of x if every x value has only one y partner.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function; if a vertical line intersects the curve at more than one point, it is not a function.

Front

If a function has the points (2, 3), (2, 5), (3, 4), what can you conclude?

Back

This is not a function because the x value 2 is paired with two different y values.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x values).

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y values).

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.