Assertion Let` f:R→R`,`f(x)`=`x^3+x^2+3x+sinx` `f(x)` is one-one. Reason `f(x)` is decreasing function.

Let f:(-pi/2,pi/2)vecR be given by f(x)=(log(sec"x"+tan"x"))^3 then f(x) is an odd function f(x) is a one-one function f(x) is an onto function f(x) is an even function

If f : R to R be a function such that f(x)=x^(3)+x^(2)+3x +sinx, then discuss the nature of the function.

If f : R to R be a function such that f(x)=x^(3)+x^(2)+3x +sinx, then discuss the nature of the function.

The function f : R rarrR is defined as f( x) = 3^(-x) . From the following statements, I. f is one-one II. f is onto III. f is a decreasing function the true statements are

If f:R to R is given by f(x)=x^(3)+(a+2)x^(2)+3ax+5a if f(x) is one-one function, then a belong to

If f(x) = x^3 + 3x^2 + 12x - 2 sin x, where f: R rarr R, then (A) f(x) is many-one and onto (B) f(x) is one-one and onto(C) f(x) is one-one and into (D) f(x) is many-one and into

The function f:R to R given by f(x)=x^(2)+x is

Let f : R rarr R be defined by f(x) = x^(2) - 3x + 4 for all x in R , then f (2) is equal to

The function f:R→R defined by f(x)=(x−1)(x−2)(x−3) is

Let f :RrarrR be a function defined by f(x) = x^3 + x^2 + 3x + sin x . Then f is