Is it a Function?

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a graph of a function. If any vertical line intersects the curve more than once, then it is not a function.

Front

Can a function have multiple outputs for a single input?

Back

No, a function cannot have multiple outputs for a single input. Each input must correspond to exactly one output.

Front

What is a domain in a function?

Back

The domain of a function is the complete set of possible values of the independent variable (input) for which the function is defined.

Front

What is a range in a function?

Back

The range of a function is the complete set of possible values of the dependent variable (output) that result from using the function.

Front

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

Back

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

Front

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

Back

Yes, because each input corresponds to exactly one output.

Front

What is an independent variable?

Back

An independent variable is a variable that represents the input of a function, which can be freely changed.

Front

What is a dependent variable?

Back

A dependent variable is a variable that represents the output of a function, which depends on the value of the independent variable.

Front

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

Back

A function is one-to-one if it never assigns the same value to two different domain elements.