FunctionHard
Question
The range of the function f(x) = sin 
is -
is -Options
A.[-1 , 1]
B.(- 1, 1)
C.[-1, 1)
D.cannot be determined
Solution
f(x) = sin 
f(x) will be defined if
> 0 & 4 - x2 > 0
⇒ -2 < x < 1 & -∞ < log
< ∞
- 1 ≤ sin
< 1
so range of f (x) is [-1, 1]
f(x) will be defined if
> 0 & 4 - x2 > 0⇒ -2 < x < 1 & -∞ < log
< ∞- 1 ≤ sin
< 1so range of f (x) is [-1, 1]
Create a free account to view solution
View Solution FreeMore Function Questions
If f : R → R , f(x) = 2x ; g : R → R, g(x) = x + 1, then (f .g) (2) equals -...If f : R → R satisfies f(x + y) = f(x) + f(y), for all x, y ∈ R and f(1) = 7. then f(r) is -...The function f(x) = has a local minimum at...If f (x) = 2 [x] + cos x, then f: R → R is: (where [. ] denotes greatest integer function)...The domain of the function log is-...