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.

Tags

CCSS.HSF-BF.B.4D

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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

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

Back

The domain is all real numbers except x = 0.