Functions, Functions, Functions!

Front

What is the definition of a function?

Back

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

Front

Is the relation a function? Why?

Back

No, because the x-value 11 has two y-values paired with it.

Front

What is the range of the graph represented by the interval?

Back

-2 ≤ x ≤ 10.

Front

Which set of values represents a function?

Back

(6,-5) (7, -3) (8, -1) (9, 1) because each x-value is unique.

Front

Is this table a function or not a function?

Back

Not a Function.

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 vertical line test?

Back

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 independent variable?

Back

The variable that represents the input of a function, often denoted as x.

Front

What is a dependent variable?

Back

The variable that represents the output of a function, often denoted as y.

Front

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

Back

A function is one-to-one if each output is paired with exactly one input.