Understanding domain, range, and function notation
What is the domain of f(x) = √(x - 2)?
Square root requires non-negative input: x - 2 ≥ 0
If f(x) = 2x + 3, what is f(4)?
Substitute x=4 into the function: 2(4) + 3 = 11
Which represents a function?
A function must pass vertical line test - each x has exactly one y
What is the range of f(x) = x²?
Squares are always non-negative, starting from 0
If g(x) = 3x - 1, find g(f(x)) where f(x) = x + 2
g(f(x)) means substitute f(x) into g: 3(x+2) - 1 = 3x + 6 - 1