6. (10 points) The graph of a function fis given below. O O . a. For...
6. (10 points) The graph of a function fis given below. 2 a. For which values of x in the interval (-4,4) is f not continuous? Give the type of discontinuity (jump, infinite or removable) in each case. b. For which values of x in the interval (-4,4) is f not differentiable? c. Give the value of the following: i. lim f(x) ii. limf(x) ill. lim f(x) 22+
6. (10 points) The graph of a function fis given below. O O a. For which values of x in the interval (-4,4) is fnot continuous? Give the type of discontinuity (jump, infinite or removable) in each case. b. For which values of x in the interval (-4,4) is f not differentiable? c. Give the value of the following: i. lim f(x) lll. lim f(x) X-2 X-2 X-2
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)
6. (10 points) The graph of a function fis given below. 6 2 0 2 6 a. For which values of x in the interval (-4,4) is f not continuous? Give the type of discontinuity (ump, 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) iii. lim f(x) 22+
Problem 2. (12 pts) The graph of a function fis given below. Answer the questions that follow. 110 6 2- 5 -6- - X-2 (i) (6 pts) Find the following limits. If a limit is infinite or does not exist, specify so. (Ipt each) a) lim f(x) = b) lim f(x)= c) limf(x) = d) lim f(x) = e) lim f(x) = g) limf(x) = (2 pts) Does f have any asymptote(s)? If yes, what kind? Write their equations. (iii)...
-/7.14 points WANEAC7 3.1.035. 0/6 Submissions Used The graph of fis given. Use the graph to compute the quantities asked for, if a - 6. HINT (See Examples 4-5.1 (If you need to use or -- enter INFINITY or -INFINITY, respectively. If an answer does not exist, enter DNE.) (a) lim f(x) (b) lim f(x) Need Help? Wh Talk is a Tutar | -/7.14 points WANEAC73.1.039. 0/6 Submissions Used The graph of f is given. Use the graph to compute...
Graph of A continuous function fis defined on the closed interval - 4sxs6. The graph of consists of a line segment and a curve that is tangent to the x-axis at x-3, as shown in the figure above. On th interval Dexc6, the function fis twice differentiable, with f(x)>0. Is there a value of a -4sach, for which the Mean Value Theorem applied to the interval (a 6), guarantees a value ca cx6, at which f'(c) = ? Justify your...
The graph of the function fis shown in the accompanying figure. (a) is f continuous at x = O No Why or why not? (Select all that apply.) Fa) is not defined lim Fx) - Fla) Olim Rx) does not exist limFX) exists There is a corner at x = pa) is defined Fx) exists F"(x) does not exist (b) is f differentiable at x = a? Justify your answer. (Select all that apply.) lim, Fx) exists lim FX) does...
Classify the discontinuities in the function below at the given point. x2 - 8x + 7 f(x) = -; X = 1 X-1 Select the correct choice below, and, if necessary, fill in the answer box to complete your choice. O A. The discontinuity at x = 1 is a removable discontinuity. The function can be redefined at this point so that f(1) = B. The discontinuity at x = 1 is a jump discontinuity. O C. The discontinuity at...
Sketch a possible graph of a function that satisfies the conditions below. Determine whether fis continuous at x = 1. f(1) = 2; lim f(x) = -2; lim f(x) = 2 x=1 *1* Choose the correct graph below. OA. B. OC. D. ro х X х -5 5 -5 5 -5 5 -5 5 Is f(x) continuous at x = 1? No оо Yes