- The parent function y = x is linear and odd, with domain (-∞, ∞) and range (-∞, ∞). As x approaches ±∞, y also approaches ±∞.
- The parent function y = x² is quadratic and even, with domain (-∞, ∞) and range [0, ∞). As x approaches ±∞, y approaches ∞.
- The parent function y = x³ is cubic and odd, with domain (-∞, ∞) and range (-∞, ∞). As x approaches -∞, y approaches -∞; as x approaches ∞, y approaches ∞.
- The parent function y = b^x (b > 1) is exponential and neither even nor odd, with domain (-∞, ∞) and range (0, ∞). As x approaches -∞, y approaches 0; as x approaches ∞, y approaches ∞.
- The parent function y = 1/x is rational (inverse) and odd, with domain (-∞, 0) ∪ (0, ∞) and range (-∞, 0) ∪ (0, ∞). As x approaches 0 from the left or right, y approaches ∓∞; as x approaches ±∞, y approaches 0.
- The parent function y = int(x) = ⌊x⌋ is greatest integer and neither even nor odd, with domain (-∞, ∞) and range {y: y ∈ ℤ} (integers). As x approaches ±∞, y also approaches ±∞.
- The parent function y = |x| is absolute value and even, with domain (-∞, ∞) and range [0, ∞). As x approaches ±∞, y approaches ∞.
- The parent function y = √x is radical and neither even nor odd, with domain [0, ∞) and range [0, ∞). As x approaches ∞, y approaches ∞.
- The parent function y = ∛x is cube root and odd, with domain (-∞, ∞) and range (-∞, ∞). As x approaches ±∞, y also approaches ±∞.
- The parent function y = log_b(x) (b > 1) is logarithmic and neither even nor odd, with domain (0, ∞) and range (-∞, ∞). As x approaches 0⁺, y approaches -∞; as x approaches ∞, y approaches ∞.
- The parent function y = 1/x² is rational (inverse squared) and even, with domain (-∞, 0) ∪ (0, ∞) and range (0, ∞). As x approaches 0 from either side, y approaches ∞; as x approaches ±∞, y approaches 0.
- The parent function y = C is constant and even, with domain (-∞, ∞) and range {y: y = C}. As x approaches ±∞, y remains equal to C.
Parent Tip: Review the logic above to help your child master the concept of features of functions worksheet answers.
