Unit 5: Identifying Functions (1)

Front

What is the definition of a function?

Back

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

Front

What do the left and right ovals represent in a function diagram?

Back

The left oval represents the x-values (inputs) and the right oval represents the y-values (outputs).

Front

Which of the following is a function? A, B, C, or D?

Back

A is a function.

Front

Which set of ordered pairs is a function? {(9,5), (10,5), (9,-5), (10,-5)}, {(3,4), (4,-3), (7,4), (3, 8)}, {(6,-5), (7, -3), (8, -1), (9, 1)}, {(2, -2), (5, 9), (5, -7), (1, 4)}

Back

{(6,-5), (7, -3), (8, -1), (9, 1)} is a function.

Front

What are all of the x values in a function called?

Back

The x values are called Inputs.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) of a function.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) of a function.

Front

Can a function have the same output for different inputs?

Back

No, a function cannot have the same output for different inputs.

Front

What is a vertical line test?

Back

A vertical line test is 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

What is an example of a function in real life?

Back

An example of a function in real life is a vending machine; each button (input) corresponds to one specific item (output).