Relations, Functions, Function Notation, Domain & Range

Front

What is the definition of a function?

Back

A relation that maps every domain value to exactly one range value.

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 range of a function?

Back

The set of all possible output values (y-values) for the function.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain?

Back

D: {-4, 0, 1, 2}.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the range?

Back

R: {-4, -3, 1}.

Front

What does the notation f(x) represent?

Back

The output of the function f for the input x.

Front

What does h(4) = 5 mean in the context of a function?

Back

After 4 weeks, the plant is 5 inches tall.

Front

Which of the following is NOT a function: {(1,-5), (3,1), (-5,4), (4,-2)} or {(1,-5), (-1,6), (1,5), (6,-3)}?

Back

{(1,-5), (-1,6), (1,5), (6,-3)} is NOT a function.

Front

What is a relation in mathematics?

Back

A set of ordered pairs.

Front

How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.