Fill in the blanks:
The relation g = {(x,3)`|x inR}` defined on R is a _______ on R.

Fill in the blanks: The maximum value of sin x + cos x, x in R, is _______.

Fill in the blanks: The function f(x) = 4x - 3 is strict ____ function for all x in R.

Fill in the blanks: The derivative of log_(10) x w.r.t x is …………….. .

Fill in the blanks: Derivative of sin x w.r.t cos x is …………… .

Fill in the blank: The domain of the function f : R rarr R defined by f(x) = sqrt(x^2 - 5x + 6) is ________.

Fill in the blanks: The value of cot^-1 (-x) , for all x in R , in terms of cot^-1 x is……….

Fill in the blank: Let f : R rarr R be defined by f(x) = (1)/(2 + cosx) for all x in R , the range of f is _______.

Fill in the Blanks Let {:RrarrR defined by f(x)=1/(2+cosx) x= R then range of is ......

Fill in the blank: Consider the set A = (0,1,2) and let R = (0,1), (1,0) be the relation on A, then R is a _________ relation on A.

Let N be the set of natural numbers and the relation R be defined on N such that R = {(x, y) : y = 2x, x, y in N} . Is this relation a function ?