Home › CBSE Class 11 › mathematics › Relations & Functions — Cartesian Product, Relations, Domain/Range/Codomain, Functions and their Graphs › Identify the function h(x) = x^(2/3) + 2x. Which…
Identify the function h(x) = x^(2/3) + 2x. Which of the following is INCORRECT?
Ax^(2/3) is not of the form a_k · x^k where k is a non-negative integer
Bh is a polynomial function
Ch is not a polynomial function
Dh has a fractional exponent (2/3) in the leading term
Answer & Solution
Correct answer: B. h is a polynomial function
A polynomial requires non-negative integer exponents. x^(2/3) has exponent 2/3 — not a non-negative INTEGER. So h is NOT a polynomial. The other three statements correctly explain why.
Related questions
Let A = {x, y, z} and B = {1, 2}. The number of relations from A to B is:R = {(x, x^3) : x is a prime number less than 10} in roster form is:Let A = {1, 2} and B = {3, 4}. The number of subsets of A × B is:Let R be defined on ℕ by R = {(x, y) : y = 2x, x, y ∈ ℕ}. Identify the correct descriptionR = {(2, 2), (2, 4), (3, 3), (4, 4)} is NOT a function because:A relation R defined by R = {(2, 1), (3, 1), (4, 2)} is a function because:For Example 7 in the chapter: A = {1, 2, 3, 4, 5, 6} and R = {(x, y): y = x + 1}. The rangA relation R is defined on A = {1, 2, 3, 4, 6} by R = {(a, b): b is exactly divisible by a