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

Back

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

Front

What is a mapping diagram?

Back

A mapping diagram visually represents how each input is paired with an output in a function.

Front

Is this mapping diagram a function if it shows multiple outputs for one input?

Back

Not a Function.

Front

What is a table of values in relation to functions?

Back

A table of values lists pairs of inputs and outputs, helping to determine if a relation is a function.

Front

Is the table showing (1,2), (2,3), (3,4) a function?

Back

Yes, because each input has a unique output.

Front

Is the table showing (1,2), (1,3), (2,4) a function?

Back

Not a Function, because the input '1' has two different outputs (2 and 3).

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction of two integers.

Front

Which of the following is not a rational number: -7, 0.33, Square Root of 25, Square Root of 15?

Back

Square Root of 15, because it cannot be expressed as a fraction.

Front

What is the vertical line test?

Back

A method to determine if a curve is a function; if a vertical line crosses the curve more than once, it is not a function.