cl. (1 Point) Suppose f'(x)exists for all x in ((1,3)). Which of the following four statements, i V, is true: (I) f(x) is continuous on ((1,5) (II) f (x) is continuous atx=a (III) f(x) is dened for all x in (0,1?) (IV) f(x) is differentiable on ((2,3)) i. I and III ii. I, II, and III iii. All of the above iv. None of the above v. I only. e. (1 Point) You know the following statement is true: If f(x) is a polynomial, then f (x) is continuous everywhere it is defined. Which of the following statements is also true? i. If f(x) is not continuous, then it is not a polynomial. ii. If f(x) is continuous, then it is a polynomial. iii. If f(x) is not a polynomial, then it is not continuous. f. (1 Point) The error in using the tangent line L(x) =f(a)+f'(a)(xa) to approximate y = f(x) at the point a is E(x)=f(x) [f(a)+f'(a)(x o)] . Then lim E(x) . xm (x a) ' i. Must be 0 ii. Might not exist iii. Depends 0n the value of a