Domain and Range

Front

What is the definition of Domain in a function?

Back

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

Front

Evaluate f(-2) if f(x) = x² + 3.

Back

7

Front

What is the range of the function f(x) = x²?

Back

0 ≤ f(x) < ∞ (all non-negative real numbers).

Front

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

Back

x ≥ 1.

Front

What is the range of the function f(x) = -x²?

Back

(-∞, 0] (all real numbers less than or equal to 0).

Front

Evaluate f(3) if f(x) = 2x + 1.

Back

7

Front

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

Back

x ≠ 2.

Front

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

Back

[0, ∞) (all non-negative real numbers).

Front

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

Back

x > 0.