Identifying Functions

Front

What is a function?

Back

A function is a relation where every input has exactly one output.

Front

Is this mapping a function? (x: 1, 2, 2, 3; y: 4, 5, 6, 7)

Back

Not a Function; the x's repeat.

Front

Which set of ordered pairs is a function? {(1,2), (2,3), (3,4), (1,5)}

Back

Not a Function; the x's repeat.

Front

Which set of ordered pairs is a function? {(1,2), (2,3), (3,4), (4,5)}

Back

Function; all x's are unique.

Front

Does this mapping diagram represent a function? (Input: 1 -> Output: 2, 1 -> Output: 3)

Back

No, because an input value goes to multiple output values.

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

Is this set a function? {(1,2), (2,3), (3,4), (2,5)}

Back

Not a Function; the x's repeat.