Question

Q3 Given the following table that represents an exponential function, find the domain, range, y-intercept, constant percent rate of change, and interval behavior.
x f(x)
-2 0.25
-1 0.5
0 1
1 2
2 4

Answer 1

- Function: f(x) = 2^x (since values double for each +1 in x)
- Domain: (-∞, ∞)
- Range: (0, ∞)
- y‑intercept: f(0) = 1 → (0, 1)
- Constant percent rate of change: multiplier per 1 unit = 2 ⇒ 100% increase per unit (doubles each time)
- Interval behavior: increasing on (-∞, ∞); as x → ∞, f(x) → ∞; as x → -∞, f(x) → 0 (horizontal asymptote y = 0).