Question

If the mapping of f(x) = ax + ba < 0 maps [–1, 1] onto [0, 2], then for all values of  is

Solution

Correct option is

 

  

                

  f(x) is dec. function  

  F(–1) = 2 and F(1) = 1 

  

Thus  F(x) = –x + 1  

  

              

              

              

                

              

  

  

SIMILAR QUESTIONS

Q1

The number of point of intersection of the two curves y = 2 sin x and 

Q2

The number of all possible triplets  such that  for all x is :

Q3

The equation  possesses a solution if :

Q4

 

 then  

 

Q5

 

In interval , the equation  has

 

Q7

 

The value of  is where xo denotes the degrees :

 

Q8

 is equal to

Q10

 

The most general values of ‘x’ for which

         

are given by: