QTR 2: ALG U5 CW #3: Domain & Range

Front

What is a function?

Back

A special relationship where each input (x) has exactly one output (y).

Front

How can you tell if a relation is not a function?

Back

If any input (x) has more than one output (y).

Front

What does the domain of a function represent?

Back

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

Front

What does the range of a function represent?

Back

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

Front

If the ordered pairs are {(1,2), (2,3), (1,4)}, is this a function?

Back

No, because the input 1 has two outputs (2 and 4).

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

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output (y) for different inputs (x).

Front

What is an example of a function?

Back

f(x) = x + 2 is a function because each input x has one output.

Front

What is an example of a relation that is not a function?

Back

The relation {(1,2), (1,3)} is not a function because the input 1 has two outputs.

Front

What is the domain of the function f(x) = 1/x?

Back

The domain is all real numbers except x = 0.