Which function's range is the interval `(-oo,4]?`

The value of b for which the function f(x)=sin x-bx+c is decreasing in the interval (-oo,oo) is given by

Find a polynomial f(x) of degree 4 which increases in the intervals (-oo,1) and (2,3) and decreases in the intervals (1,2) and (3,oo) and satisfies the condition f(0)=1

The function x^4-4x is decreasing in the interval

The equation |x-2|+a|=4 can have four distinct real solutions for x if a belongs to the interval (-oo,-4)(b)(-oo,0)(4,oo)(d) none of these

A polynomial function P(x) of degree 5 with leading coefficient one,increases in the interval (-oo,1) and (3,oo) and decreases in the interval (1,3). Given that P(0)=4 and P'(2)=0. Find th value P'(6) .

Prove that function f(x)=log_(e)x is strictly increasing in the interval (0,oo)

Prove that function f(x)=log_(e)x is strictly increasing in the interval (0,oo)

The function sin x-bx+c will be increasing in the interval (-oo,oo) ,if