Problem 3. (1 point) Problem 6. (1 point) Let f(x) = 1+x, ifx<3 7-x, if x 3 y Evaluate the following expressions. 5+ lim f(x) x-3- 4 3 lim f(x) x-3+ f(3) Is the function f continuous at 3? ? Answer(s) submitted: • 4 • 4 • 4 • Yes (correct) Problem 4. (1 point) Find values of x, if any, at which 2 2x f(x) = x-9 x+4 is not continuous (enter as comma separated list, smallest to largest). x= 2+ - དཀརར། + + + I 1 2 3 4 5 6 At each of the following points, choose the selection that best de- scribes the nature of the function's continuity there. ? 1. at x 1 ? 2. at x=4 ? 3. at x=3 Answer(s) submitted: • L • C • D Answer(s) submitted: -4, 9 (correct) Problem 5. (1 point) Find a value of the constant k, if possible, at which f(x) = is continuous everywhere. k = Skx² x<-3 7x+k x>-3 (enter "none" if no value). Answer(s) submitted: -21/8 (correct) (correct) Problem 7. (1 point) Carry out three steps of the Bisection Method for f(x) = 3* - x7 as follows: (a) Show that f(x) has a zero in [1,2]. (b) Determine which subinterval, [1,1.5] or [1.5,2], contains a zero. (c) Determine which interval, [1, 1.25], [1.25, 1.5], [1.5, 1.75], or [1.75,2], contains a zero. In part (b), the interval with a zero is In part (c), the interval with a zero is Answer(s) submitted: [1, 1.5] ⚫ [1, 1.25] (correct) 2 Problem 1. (1 point) Suppose that g is the function given by the graph below. Use the graph to fill in the blanks in the following sentences. Problem 2. (1 point) Use the given graph of the function g to find the following limits: g 3+ 2+ 16 2 -1 1 2 3 As x gets closer and closer to (but stays less than) 1, g(x) gets as close as we want to As x gets closer and closer to (but stays greater than) 1, g(x) gets as close as we want to As x gets closer and closer (but not equal) to 1, does g(x) get as close as we want to a single value? If such a value exists, enter it. If no such value exists, enter DNE. x= - Answer(s) submitted: • 3 • 2 • DNE (correct) 1. lim g(x) x-2- 2. lim g(x) x+2+ 3. lim g(x)= x→2 4. lim g(x) 5. g(2): = help (limits) Note: You can click on the graph to enlarge the image. Answer(s) submitted: • 2 • 0 • DNE • DNE • 1 (correct)