Consider the following statements in respect of the function f(x)= x : 1. f(x) increases in the interval (0, ) . 2. f(x) decreases in the interval ( 5 2 , 3 ) . Which of the above statements is/are correct?

Step-by-step solution

aligned & f(x)= x & Graph of f(x)= x from x [0,2 ] aligned Here, f(x)= x , Increases from [0, 2 ] and [ 3 2 , 2 ] decreases from [ 2 , 3 2 ] Hence (1) is not correct. Domain = [ 5 2 , 3 ]= [2 + 2 , 2 + ]= [ 2 , ] From graph, (x) decreases from [ 2 , ] Hence, (2) is correct.