The domain
inequality notation: -∞ < x < ∞
interval notation: (-∞, ∞)
set notation: x
The range
inequality notation: y > 0
interval notation: (0, ∞)
set notation: y
End behavior
As x → ∞, f(x) → ∞
As x → -∞, f(x) → 0
What is the domain and range
The domain consists all real numbers while the range from the graph consists of positive real numbers
The end behavior of a function describes its behavior as the input x approaches positive or negative infinity.
For f(x) = 3ˣ, the end behavior is determined by the exponential growth.
- As x approaches positive infinity, the function grows to positive infinity.
- As x approaches negative infinity, the function approaches zero