A student claims the domain of is . State the correct domain in interval notation.
Show step-by-step solution
Answer: (-∞, ∞)
- A cube root is defined for every real number, unlike a square root.
- So may be any real number and the domain is .
Back to the problem bank Challenge Non-routine
Term 1 · Weeks 9–10 · Functions and Their Graphs
Challenge problem · non-routine
Common errors to watch for
- Applying the square-root restriction (radicand ) to a cube root.
Budget of Work competencies
- gm11.t1.w9.c2
Classify functions based on their graphs and/or equations to determine if they are linear, absolute value, quadratic, square root, or cube root.