Let f: R → R be defined as f(x) = x⁴. Then the function f is:

Let f: R → R be defined as f(x) = x⁴. Then the function f is:

• A. One-one and onto
• B. One-one but not onto
• C. Onto but not one-one
• D. Neither one-one nor onto

Answer: D) Neither one-one nor onto

Explanation: f(−1) = 1 and f(1) = 1, so f is not one-one (many-one). Since x⁴ ≥ 0 for all real x, negative numbers have no pre-image in R. Thus, f is not onto.