Review: Domain & Range of Linear Functions

Front

What is the definition of the domain of a function?

Back

The domain of a function is the complete set of possible values of the independent variable (usually x) for which the function is defined.

Front

What is the definition of the range of a function?

Back

The range of a function is the complete set of possible values of the dependent variable (usually y) that result from using the function.

Front

Given the ordered pairs (2, 11), (9, -3), (7, 21), (-8, 6), what is the range?

Back

The range is {-3, 6, 11, 21}.

Front

For the function y = -2x + 7, what is the range if the domain is {-1, 0, 1}?

Back

The range is {9, 7, 5}.

Front

What is the domain of the function f(x) = 15x + 20 if x represents hours worked?

Back

The domain is any value between 0 and 5.

Front

How do you find the domain of a function from a set of ordered pairs?

Back

The domain is found by listing all the unique x-values from the ordered pairs.

Front

What is the domain of the function represented by the ordered pairs {(1,2), (3,4), (5,10)}?

Back

The domain is {1, 3, 5}.

Front

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

Back

The domain is all real numbers, or (-∞, ∞).

Front

What does it mean if a function has a restricted domain?

Back

A restricted domain means that the function is only defined for certain values of x, often due to real-world constraints.

Front

What is the significance of the range in a real-world context?

Back

The range indicates the possible outcomes or results of a function, which can represent real-world quantities.