I.MULTIPLE CHOICE. Read and answer the following questions. Write the letter of your answer on the space provided. (2pts. each) 1. Which of the following statements is CORRECT? A. Continuous functions are not differentiable. B. Continuous functions do not have graphs. C. Continuous functions are differentiable 2. Which of the following functions are continuous but not differentiable? D. Continuous functions have gaps on their graphs A. B. C. ach 3. All functions below are continuous and differentiable EXCEPT ONE. Which is it? A. linear function B. absolute value function C. quadratic function D. rational function 4. On what value/s of x will make the function f(x) = x - 4 continuous? A. 4 B. O C. - 4 D. all values of x 5. 13. Which of the following are not differentiable? A. f(x) = 121 B. f ( x) = (x+ 3) 4 C. f(x) = 1066 D. f (x ) = mx+b II. Read the following statements. Identify whether these are ST-sometimes true, AT- always true or NT - never true. (2pts.each) 1. If a function is differentiable at a point, then it is continuous at the same point. 2. If a function is continuous at a point, then it is differentiable at the same point. 3. If a function is differentiable at a point, then it is not continuous at the same point. 4. If a function is not differentiable at a point, then it is continuous at the same point. 5. If a function is not differentiable at a point, then it is not continuous at the same point. Ill. Put check () if the given function is continuous and differentiable at the indicated values of x and (X) if it is not. (4 points each) Given function Value of x Continuous Differentiable 1. f(x) = 3x +10 x=5 2. f( x) = x2-5x +6 x= - 3 3.f(x ) = 1 12- x1x57 X = 7 - (x+ 2)x> 7 4. f(x) = x2+2x+1 x=0 _4x+5 5. f (x) = x=3 9-3x