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

How do you determine the domain of a linear function?

Back

The domain of a linear function is typically all real numbers unless restricted by context or specific conditions.

Front

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

Back

A restricted domain means that not all real numbers are valid inputs for the function, often due to conditions like square roots or denominators.

Front

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

Back

The domain is x ≥ 3, since the expression under the square root must be non-negative.

Front

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

Back

The range is y ≥ 0, as the output of a square function is always non-negative.

Front

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

Back

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

Front

Given the function f(x) = 1/(x - 2), what is its domain?

Back

The domain is all real numbers except x = 2, which makes the denominator zero.

Front

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

Back

The range can be found by identifying the lowest and highest points on the graph and determining the y-values.

Front

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

Back

The domain is all real numbers except x = 0.