Suppose at) 2 8:E2 + 3. Evaluate the following limit. m f(2 + h) f(2) 2 h>0 h Note: Input DNE, infinity, -infinity for does not exist, 00, and 00, respectively. 7 Suppose f(x) = 2x + 4 Then the expression flat h) - f(a) h A can be written in the form (Ba + Ch + 4) (Da + 4) , where a, A, B, C, and D are constants. Find: (a) A = (b) B = (c) C = (d) D = (e) f'(1) =Suppose f(.'13) : 7:122 + C, where C is any real number. Then the expression f(5+h)-f(6) It can be written in the form Ah i 3(6), where A and B are constants. Find: (a)A : (b)B= (C) f '(6) I Let f (a) be the function whose graph is shown below. Determine f'(a) for a = 1, 2, 4, 7. f'(1) = f' (2) = f'(4) = f' ( 7 ) =Use the given graph of the function to find the m-values for which 1' is not differentiable. Answer (separate by commas): a: : Note: You can click on the graph to enlarge the image. The line tangent to the graph of g(:r:) : :33 4:1". + 1 at the point (2, 1) is given by the formula L(m) : 8(a: 2) -l- 1. These functions are graphed below. Which of the following statements are true? Select all that apply. BA. The slope of the line equals 9"(0). C] B. The functions are approximately equal on the interval 1.9 S a: S 2.1. C] C. The graphs intersect at the point (2, 1). C] D. The functions are approximately equal on the interval 0.5 S :c S 1.0. C] E. The slope of the line equals g'(2). | F. The functions have the same yintercegt