Problem 8. (1 point) 1 is discontinuous and state the type of discontinuity: x _ Determine the point at which the function f{x) : removable, jump, innite, or none of these. )7 : .1. Choose the type Problem 2. (3 points) A function f is said to have a removable discontinuity at a if: 1. f is either not defined or not continuous at a. 2. f(a) could either be defined or redefined so that the new function is continuous at a. Let f (x) = 21+5x-75 x - 5 Show that f has a removable discontinuity at 5 and determine the value for f (5) that would make f contin- uous at 5. Need to redefine f (5) =_ Problem 3. (3 points) Find the value of the constant b that makes the following function continuous on (-co, co). f ( x ) = 8x - 4 ifx5 b = Now draw a graph of f. Problem 4. (3 points) Find a value for the constant c so that the function f ( x ) =1 4- 4 if x 2 is continuous at 2. C= Is f then continuous at every real number? Answer: [Choose/Yes/No]Problem 5. (3 points) A function f(x) is said to have a jump discontinuity at x = a if: 1. lim f(x) exists. x-a 2. lim f(x) exists. x-at 3. The left and right limits are not equal. Let f (x) = 4x -4, ifx