Answer:

Introduction to Domain and Range

The domain of a function is the set of all possible input values that produce some output value range

LEARNING OBJECTIVES

Define the domain and range of a function

KEY TAKEAWAYS

Key Points

Given a function

f

, the set

x

values (inputs) is the domain of

f

, and the set

y

values ( outputs ) is the range of

f

.

The domain of a function

f

is all of the values for which the function is defined. For instance,

1

x

is not defined when

x

=

0

. Also,

√

x

is not defined when

x

is negative.

To find the domain of a function

f

, you must find the values for which

f

is not defined. So the domain for

√

x

is

x

≥

0

.

Key Terms

domain: The set of all points over which a function is defined.

range: The set of values the function takes on as output.

function: A relationship between two quantities, called the input and the output; for each input, there is exactly one output.