FUNCTIONS

Front

What is a function?

Back

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

Front

Which of the following is a function? (3,4) (4,-3) (7,4) (3,8)

Back

Not a function, because the input 3 has two different outputs (4 and 8).

Front

Identify the function: (6,-5) (7,-3) (8,-1) (9,1)

Back

This is a function because each input has a unique output.

Front

What does it mean for a set of ordered pairs to be a function?

Back

It means that no two ordered pairs have the same first element (x-value) with different second elements (y-values).

Front

Is the following set a function? (1,2) (1,3) (2,4) (3,5)

Back

Not a function, because the input 1 has two different outputs (2 and 3).

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

Front

If f(x) = 2x + 3, what is f(2)?

Back

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

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

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.