Domain and Range of Functions

Front

What is the definition of 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 definition of 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

How do you determine the domain of a function from its graph?

Back

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

Front

How do you determine the range of a function from its graph?

Back

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

Front

What is the domain of the function f(x) = √(x - 3)?

Back

x ≥ 3.

Front

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

Back

y ≥ 0.

Front

If a function is defined as f(x) = 1/(x - 2), what is the domain?

Back

x ≠ 2.

Front

What is the range of the function f(x) = 2x + 3?

Back

All real numbers (y ∈ ℝ).

Front

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

Back

It means that not all x-values are valid inputs for the function, often due to mathematical constraints.

Front

What is the domain of the function f(x) = 1/x?

Back

x ≠ 0.