1. Let f be a function whose graph is shown below. 14 y 12 10 -14-12-10...
12. Pind the limit (if it exists). If it doesn't exist explain why. Sometr) when - (311) 13. Use the graph to determine the limits and discuss the continuity at x=-1 + 1 - > -3 -2 -1 1 2 3 lim f(x) lim (x) lim/(x) Is The above function continuous at x=-1? 14. Find the values of x (if any) at which the function is not continuous. Which of the discontinuities is removable? f(x)= 7+67+8
7.7 EXERCISES 1. Let 1-(x) dx, where f is the function whose graph is shown. (a) Use the graph to find L2,R2, and M2 (b) Are these underestimates or overestimates of 1? (c) Use the graph to find T2. How does it compare with /? (d) For any value of n, list the numbers .L. R, M. T, and I in increasing order 0 1 2 34x
7.7 EXERCISES 1. Let 1-(x) dx, where f is the function whose graph...
Problem 12: Let g(x) = Sof) dt, where f is the function whose graph is shown in the figure. Estimate g(0.8(2), 8(4), 8(6), and g(8). s 2 Sketch a rough graph of g.
please help due in 5 min!!! please help do all!!!
12 1. Let F(a)- (a) Determine any discontinuities of F(a) and classify them as either removable or nonre- movable. (b) Determine the any horizontal or vertical asymptotes of F(x). (c) Sketch a graph of F(x), indicating the asymptotes and any removable singular points. Be sure that you choose an appropriate scale.
12 1. Let F(a)- (a) Determine any discontinuities of F(a) and classify them as either removable or nonre- movable....
Graph of f Let f be the continuous function defined on (-1,8) whose graph, consisting of two line segments, is shown above. Let g and h be the functions defined by g(x) = h (2) = 5e-9 sin 2. -x +3 and (a) The function k is defined by k (x) = f(x) g(). Find k' (0) (b) The function m is defined by m (x) = 2007). Find m' (5). c) Find the value of x for -1 <...
2. Sketch the graph of the following functions and find the values of x for which lim f(x) does not exist. b)/(x) = 1, x = 0 f(x)- 5, x=3 c) x2 x>1 2x, x> 3 d) f(x)-v e) (x)- [2x 1- sin x Discuss the continuity of the functions given in problem #2 above. Also, determine (using the limit concept) if the discontinuities of these functions are removable or nonremovable 3. Find the value of the constant k (using...
[(CO)] Let g(x) = f f(t) dt, where f is the function whose graph is shown. y Also 0,4 0,2 v -0,2 (a) At what values of x do the local maximum and minimum values of g occur? Xmin (smaller x-value) Xmin = (larger x-value) Xmax = (smaller x-value) Xmax (larger x-value) (b) Where does g attain its absolute maximum value?
7 points Question 3. An Unusual Integrable Function (Show Working) Consider the function f : 10, 11 → R defined by 1 if r-for some nEN; f(x) = 0 for all other x E [0,1 (1 subpts) (a) Draw a rough diagram of the graph of f. When we study the formal definition of the continuity of a function later in the course, we will be able to prove that this function is discontinuous at those domain values r such...
The graph of a function f is given below
(10 points) The graph of a function is given below. 2 a. For which values of x in the interval (-4,4) is f not continuous? Give the type of discontinuity Gump, infinite or removable) in each case. b. For which values of x in the interval (-4,4) is fnot differentiable? c. Give the value of the following: i. lim f(x) ii. lim f(x) tit. lim f(x)
Identify the parent function of the function whose graph is shown below. 3 2 -8-7-6---5 -3-2 0 3 4 5 6 -4 -5 -6 -7 Select the correct answer below: O ) = b O f(x) = mx + b O Of(x) = x Is the function shown in the graph below even, oddſor neither? 7 6 5 4 3 f 1 -10 0 -9 00 -7 -6 -5 4 -3 -2 -1 0 1 2 3 4 5 6...