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) for which the function is defined.

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

Identify the domain of the relation: (-6,14), (0,32), (2,38), (4,44).

Back

-6, 0, 2, 4

Front

Identify the range of the function f(x) = x + 4 for the domain {1,7,10}.

Back

{5, 11, 14}

Front

What is an appropriate domain for the function f(x) = 15x + 20 if x represents hours worked between 7:00 pm and 12:00 am?

Back

Any value between 0 and 5.

Front

What is an appropriate range for the function f(x) = 15x + 20 if x represents hours worked?

Back

Any value between 0 and 95.

Front

How do you find the domain of a function from a graph?

Back

The domain can be found by identifying all the x-values that the graph covers.

Front

How do you find the range of a function from a graph?

Back

The range can be found by identifying all the y-values that the graph covers.

Front

What is the difference between domain and range?

Back

Domain refers to input values (x-values), while range refers to output values (y-values).

Front

If a function is defined as f(x) = 2x + 3, what is the domain?

Back

The domain is all real numbers.