VSA 12 - Function Test

Front

What is the definition of a function?

Back

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

Front

How can you tell if a set of ordered pairs is a function?

Back

A set of ordered pairs is a function if no x-value repeats with different y-values.

Front

Is the relation {(<,>),(^,-),(+,=),(&,%)} a function?

Back

Yes, since no first element (x-value) is repeated.

Front

Which of the following sets of values 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 is an input in a function?

Back

An input is a value that is fed into a function to produce an output.

Front

What is an output in a function?

Back

An output is the result produced by a function after processing an input.

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.

Front

What is a one-to-one function?

Back

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

Front

What is a vertical line test?

Back

The vertical line test is a method to determine if a curve is a function by checking if any vertical line intersects the curve more than once.

Front

What is the domain of a function?

Back

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