The graph of a function f is given below (10 points) The graph of a function...
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+
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 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 f not differentiable? c. Give the value of the following: lim f(x) it. limf(x) ill. lim 1.
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
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+
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...
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)...
1. (2 pts each) Given the graph of f(x) on the right, a. Find each of the following. i.) lim f(x) ii.) lim f (x) x=0 X2 TI iii.) lim f(x) iv.) f(2) x-1- v.) lim f(x) vi.) lim f(2.5+h)-f(2.5) h 0 h x +1 -4 b. State all x values at which i.) f(x) is discontinuous ii.) f(x) is not differentiable.
3. (16 points) (a) The graph of f(z) is given below. Using the graph, determine each of the following: i) 2-coordinate of local maxima ii) D-coordinate of local minima iii) open interval(s) on which is INCREASING between 1 = A and 2 =D iv) open interval(s) on which f is DECREASING between 2 = A and 1=D v) open interval(s) on which f is CONCAVE UP between 1 = A and z =D vi) open interval(s) on which f is...
10. Let f(x)- x+1, when x<0 x21, when x20 Calculate Sro(x) Graph fx) near zero and then graph Sce)(x) near zero. So)(x) fx) lim So (x) = x 0 lim So)(x) x0+ limSt (x) x0 Based on the graph of f(x) and a limit calculation, deternmine if f(x) is continuous at x=0. Based on the graph of So)(x) and the limit calculations above, classify what kind of discontinuity point S(o) (x) has at x-0 Does f '(0) exist? If yes,...
-/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...