- The table lists 12 parent functions with their graphs, domains, ranges, and symmetry properties.
- Each row contains a function name, its algebraic form, graph sketch, domain, range, and classification as odd, even, or neither.
- For example, y = x is linear and odd with domain and range both (-∞, ∞).
- y = |x| is absolute value, even, with domain (-∞, ∞) and range [0, ∞).
- y = x² is quadratic, even, with domain (-∞, ∞) and range [0, ∞).
- y = √x is square root, neither odd nor even, with domain [0, ∞) and range [0, ∞).
- y = x³ is cubic, odd, with domain and range both (-∞, ∞).
- y = ∛x is cube root, odd, with domain and range both (-∞, ∞).
- y = b^x (b > 1) is exponential, neither, with domain (-∞, ∞) and range (0, ∞).
- y = log_b(x) (b > 1) is logarithmic, neither, with domain (0, ∞) and range (-∞, ∞).
- y = 1/x is rational/inverse, odd, with domain (-∞, 0) ∪ (0, ∞) and range (-∞, 0) ∪ (0, ∞).
- y = 1/x² is inverse squared, even, with domain (-∞, 0) ∪ (0, ∞) and range (0, ∞).
- y = int(x) = ⌊x⌋ is greatest integer, neither, with domain (-∞, ∞) and range {y : y ∈ ℤ} (only integers).
- y = c is constant, even, with domain (-∞, ∞) and range {y : y = c}.
Parent Tip: Review the logic above to help your child master the concept of algebra 2 parent functions and transformations worksheet.
