Domain and Range

Front

What is the definition of Domain in 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 Range in a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

Identify the domain of the function: f(x) = 1/(x-2)

Back

The domain is all real numbers except x = 2, or in interval notation: (-∞, 2) ∪ (2, ∞).

Front

Identify the range of the function: f(x) = x^2

Back

The range is [0, ∞) because the output of x^2 is always non-negative.

Front

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

Back

The domain is x ≥ 1, or in interval notation: [1, ∞).

Front

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

Back

The range is [0, ∞) because the absolute value is always non-negative.

Front

Identify the domain of the relation: {(-1, 2), (0, 3), (1, 4)}

Back

The domain is {-1, 0, 1}.

Front

Identify the range of the relation: {(-1, 2), (0, 3), (1, 4)}

Back

The range is {2, 3, 4}.

Front

What is the domain of the function f(x) = 3x + 5?

Back

The domain is all real numbers, or in interval notation: (-∞, ∞).

Front

What is the range of the function f(x) = -2x + 1?

Back

The range is all real numbers, or in interval notation: (-∞, ∞).