Domain and Range Quiz

Domain and Range of Functions

• The domain of a function that has a horizontal line is all real numbers (since it is defined for all values of x).

Absolute Value Function

• The range of the function f(x) = |x| is [0, ∞) since the absolute value function always gives a non-negative value.

Square Root Functions

• The domain of the function f(x) = √(x-3) is [3, ∞) since the expression inside the square root cannot be negative.
• The domain of the function f(x) = √(x-2) is [2, ∞) since the expression inside the square root cannot be negative.

Reciprocal Function

• The range of the function g(x) = 1/x is all real numbers except 0, since the function is never equal to 0.

Logarithmic Function

• The domain of the function h(x) = log(x+3) is (-3, ∞) since the argument of the logarithm function must be positive.