Domain and Range of Functions

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

Given the ordered pairs {(1, 2), (2, 3), (3, 4)}, what is the domain?

Back

{1, 2, 3}

Front

Given the ordered pairs {(1, 2), (2, 3), (3, 4)}, what is the range?

Back

{2, 3, 4}

Front

Does the set of points {(1, 2), (1, 3), (2, 4)} represent a function?

Back

No! Because the input value '1' corresponds to two different output values.

Front

What is the domain of the function f(x) = x^2?

Back

All real numbers, as any real number can be squared.

Front

What is the range of the function f(x) = x^2?

Back

{y | y ≥ 0}, since the output of squaring any real number is non-negative.

Front

Given the function f(x) = 2x + 3, what is the domain?

Back

All real numbers.

Front

Given the function f(x) = 2x + 3, what is the range?

Back

All real numbers.

Front

What is the domain of the function represented by the table: x | y 1 | 2 2 | 3 3 | 4?

Back

{1, 2, 3}