Is it a Function or not?

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Tags

CCSS.8.F.A.1

Front

Is the relation {(1,5),(1,7),(3,9),(4,11)} a function?

Back

No, because the input '1' has two different outputs (5 and 7).

Tags

CCSS.8.F.A.1

Front

Is the relation {(2,3),(3,4),(4,5)} a function?

Back

Yes, because each input has a unique output.

Tags

CCSS.8.F.A.1

Front

What is the vertical line test?

Back

A method to determine if a relation is 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 for different inputs, as long as each input has only one output.

Tags

CCSS.8.F.A.1

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 relation {(1,2),(2,3),(3,2)} a function?

Back

Yes, because each input has only one output.

Tags

CCSS.8.F.A.1

Front

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

Back

No, because the input '1' has two different outputs (2 and 3).

Tags

CCSS.8.F.A.1

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if each output is produced by exactly one input.