Consider the following statements :
1. If `f(x)=x^(2)andg(y)=y^(3)` then f=g.
2. Identity function is not always a bijection.
Which of the above statements is/are correct ?

Consider the function f(x)={{:(x^(2)-5,xle3),(sqrt(x+13),xgt3):} Consider the following statements : 1. The function is discontinuous at x=3. 2. The function is not differentiable at x=0. What of the above statements is/are correct?

Read the following information carefully and answer the question given below: Consider the function f(x)={{:(x^(2)-5,xle3),(sqrt(x+13),xgt3):} Consider the following statements: I. The function is discontinuous at x = 3 II. The function is not differentiable at x = 0 Which of the above statement(s) is/are correct?

Consider the following statements in respect of f(x)=|x|-1 : 1. f(x) is continuous at x=1. 2. f(x) is differentiable at x=0. Which of the above statement is/are correct?

Consider the following statements: 1. The function f(x)=|x| is not differentiable at x=1. 2. The function f(x)=e^(x) is not differentiable at x=0. Which of the above statements is/are correct ?

Let f(x) be a function defined in 1lexleoo by f(x)={{:(2-x" for "1lexle2),(3x-x^(2)" for "xgt2):} Consider the following statements : 1. f'(2+0) does not exist. 2. f'(2-0) does not exist. Which of the above statements is/are correct?

Consider the following statements: I. The function f(x)=|x| is not differentiable at x = 1 II. The function f(x)=e^(x) is differentiable at x = 0 Which of the above statements is/are correct?

Consider the following statements 1 f(x)=In x is an increasing funciton on (0,oo) 2 f(x) =e^(x)-x(In x) is an increasing function on (1,oo) Which of the above statement is / are correct ?