
Determine all the values of x at which this function is discontinuous b(x)= x2 - 2x...
Determine the x-values, if any, at which the function is discontinuous. x2 -9 for x < -1 h(x) = { 0 for -15xs1 x² +9 for x > 1 O A. - 1,1 OB. -1,0, 1 O c. 1 O D. None
Find all values x = a where the function is discontinuous. 3x - 5 if x < 0 f(x) = x2 + 5x -5 if x 20 O A. a = 0 OB. Nowhere O c. a = 5 OD. a = -5
(a) Graph the given function, (b) find all values of x where the function is discontinuous, and (c) find the limit from the loft and the right at any values of x where the function is discontinuous 4x2 x) X-3x+ 2 x>0 xs0 (a) Choose the correct graph below O dos (b) Select the correct choice below and, if necessary, fill in the answer box within your choice, O A. The function is discontinuous at (Use a comma lo separate...
ind for which values of x the follow ction is discontinuous: X – 3 f(x) = - x2 + 7x If there is more than one value, separate your answers by comas. The function is discontinuous at x =
Find all values x= a where the function is discontinuous. 7 if x <4 f(x) = x- 9 if 4 sxs7 7 if x>7 O A. a=7 O B. a=9 OC. a=4 OD. Nowhere
7 of 15 (0 complete) Find all values xa where the function is discontinuous. For each value of x, give the limit of the function as x approaches a. Be sure to note when the limit doesn't exist 7 + x f(x)= O Select the choice below and, if necessary, fill in the answer box/es) within your choice (Use a comma to separate answers as needed.) O A The function is discontinuous over the interval The limit is (Type your...
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...
1 6. Where is the function f(x) { { - X4 if x # 0 discontinuous? if x = 0 0 Is this a removable discontinuity? ex if x < 0 7. Where is the function f(x) discontinuous? x2 if x > 0 Is this a removable discontinuity? Is it a jump discontinuity? f(x) = {
I know a is removable, but need proof. B is
discontinuous/infinite but need proof. C is infinite but need
proof. They can be proved with definitions or with examples.
For the following, state the set of numbers for which the function is discontinuous. Prove your claim. Classify the type of discontinuity. (25 points) x2 – 1 Vx-1 1 A. y = cot x B. y = COS X C. y = x2 – 2x – 1 3x – 2
using the general power rule
Question 1 let y = (x2 +x)3 Find y' 2x+1 3(x2+x)2 3(x2+x)2 (2x+1) • (x2+x)2 (2x+1) recall general power rule formula has three parts: [u(x)" ]' = n u(x)" 1 u'(x) Question 2 let y = (x3 +x2) 1/3 Find y' (x3 +x2) 1/3 (1/3) (x3 +x2) 1/3 . (1/3)(x3 +x2)-2/3 (1/3)(x3 +x2-2/3 (3x2+2x) recall general power rule has three parts. [u(x)"l' = n u(x)n-1 u'(x) Question 5 let g(x) = 1/(x3+x2)3 find g'(x) (x²+x23...