Set, Relation and FunctionMedium

Question

Number of integral elements contained in the range of function f(x) = sin-1 is -

Options

A.0
B.1
C.2
D.3

Solution

is always positive
at x = 0 = 1
as x → ∞ → 0
⇒ (0,1]
hence range is
integral element is 1.

Create a free account to view solution

View Solution Free
Topic: Set, Relation and Function·Practice all Set, Relation and Function questions

More Set, Relation and Function Questions

Let p(x) be a function defined on R such that p′(x) = p′(1 - x), for all x ∈ [0, 1], p(0) = 1 and p(1)...If A = {x | x/2 ∈ Z, 0 ≤ x ≤ 10}, B = {x | x is one digit prime} C = {x | x/3 ∈ N, x ≤ 12}...Let a differentiable function f(x) be such that 3|f(x) - f(y)| ≤ 2|x - y| ∀ x, y ∈ R and f′(x) &...If the graph of the function y = f(x) is continuous and passes through the point (5,2) then is equal to -...The domain of the function f (x) = is...