The graph below is the function f(x) -5 -4 -2 5 4 3 2 I a Determine the following values. Enter "DNE" if a value does not exist, enter "oo" (lower case "o") if the limit approaches positive infinity, or "-oo" if the limit approaches negative infinity. lim f(x) = z-l f(1) lim f(x) z-1+ lim f(x)= #l Question Help: Message instructor Submit Question BB D Post to forum Q Search

Use the graph of the function f shown below to respond to each prompt. The first prompt is worth 3 points. The other prompts are worth 0.5 points each: 10-9-8--6-5-4-3-2 ● Does Not Exist Undefined x→-3 lim x-3 . Can be found, lim f(x) lim x → 1 Does Not Exist Undefined f(x) = lim f(x) x →1 . Can be found, f(x) = The function has several discontinuities. State the location of two discontinuities and explain, using the definition of continuity, why the function is not continuous at that location. Does Not Exist Undefined f(- 6) 10+ 9 Edit Insert Formats B IU X₂ X² A E = = E- 3? e & N lim f(x) x+3+ . Can be found, lim f(x) = x+3+ 8+ f(-3) f(-7) . Can be found, f(-7)= . Can be found, f(-3) = Does Not Exist Undefined 7 6 5 4- 3 2 1 -2 -3 -4 -5 -6 -7 -8 9+ --10+ 2 A I V 4 5 6 7 8 9 10 Does Not Exist Undefined lim x →-3+ 。 Can be found, lim f(x) x → f(x) = - 3+ Does Not Exist Undefined f(1) Can be found, f(1) = Does Not Exist Undefined lim f(x) x →3 . Can be found, f(x) = lim x →3 Does Not…

The graph below is the function f(x) -5 -4 -3 -2 -1 lim I → 1- lim z+1+ 4 mort 42 f(1) = -2- -3- -4- Determine the following values. Enter "DNE" if a value does not exist, enter "oo" (lower case "o") if the limit approaches positive infinity, or "-oo" if the limit approaches negative infinity. f(x) = f(x) = lim f(x)= I→ 1 Of = 2 3 4

b. Find lim (x/x²+1=x²)

-5x + 7 if x 3. Find lim f(x). r-3+

The graph below is the function f (x) -5 -4 -3 -2 -1 +-+ -3 -4 -S lim f(x) = x-3- lim f(x) = x-3 f(3) = lim f(x) = x 3+ 5 4 3 2 + Determine the following values. Enter "DNE" if a value does not exist, enter "oo" (lower case "o") if the limit approaches positive infinity, or "-oo" if the limit approaches negative infinity. Ā 2. Determine if the function is continuous or discontinuous at the limit value. If it is discontinuous, indicate if the discontinuity is removable or non-removable. O The function is continuous at x = 3 O The function has a removable discontinuity at x = 3 O The function has a non-removable discontinuity at x = 3 If the function has a discontinuity at the limit value, check all the boxes that indicate why the function is discontinuous there.

The graph below is the function f(x) 4 -5 4 -3 -2 -l, 1 1 3 45 -2 -4 Determine the following values. Enter "DNE" if a value does not exist, enter "oo" (lower case "o") if the limit approaches positive infinity, or "-oo" if the limit approaches negative infinity. lim f(x) = lim f(r) lim f(x) = f(3)

Evaluate the following limits: 5x3 - 10x2 - 7x 1. lim %3D 5-8x-5x3 X00 5x³ - 10x² – 7x 2. lim %3D 5 -8х-5х3 Use "infinity" for "oo" and "-infinity" for "-0"

Given the graph of f(x) at the left, determine the following: a. f(6)= b. lim f(x) = x+2 C. lim f(x) = x-6 d. lim f(x) = x-2- 6- y = f(x) 4- 2- ΟΙ 2 -~ x 2 6 8

Find the following (if they exist) for the function whose graph is given below: