Functions, Functions, Functions

Front

What is a function?

Back

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

Front

Is the relation {(4,5), (4,-7), (4,2), (4,0), (4,9)} a function?

Back

No, because the input 4 has multiple outputs.

Front

Is the mapping {(1,2), (2,3), (3,4)} a function?

Back

Yes, each input has exactly one output.

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

Is the graph of y = x^2 a function?

Back

Yes, because for every x-value, there is one y-value.

Front

Is the mapping {(1,2), (1,3)} a function?

Back

No, because the input 1 has multiple outputs.

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

Is the table of values: (1,2), (2,3), (3,4) a function?

Back

Yes, each input has exactly one output.

Front

Is the table of values: (1,2), (1,3) a function?

Back

No, because the input 1 has multiple outputs.