Domain and Range of Functions

Front

What is the domain of the function f(x) = x^2 + 4x + 3?

Back

(-∞, ∞)

Front

What is the domain of the function f(x) = √(x - 2)?

Back

[2, ∞)

Front

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

Back

[-3, ∞)

Front

What is the domain of the function f(x) = 1 / (x - 5)?

Back

x ≠ 5

Front

What is the domain of the function f(x) = 1 / (x^2 - 4)?

Back

x ≠ -2, 2

Front

Define 'domain' in the context of functions.

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

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

Back

[0, ∞) because the output is always non-negative.

Front

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

Back

(0, ∞) because the logarithm is only defined for positive numbers.

Front

What is the domain of the function f(x) = 1 / (x^2 + 1)?

Back

(-∞, ∞) because the denominator is never zero.

Front

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

Back

[0, ∞) because the output is always non-negative.