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In the following exercises, sketch the graph of a function with the given properties.
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- For the fallowing exercises, find the x- and y-intercepts of the graphs of each function. 11. f(x)=2x+1+6arrow_forwardPlease helparrow_forwardFor the function shown below, find (if the quantity exists) (A) lim f(x), (B) lim f(x), (C) lim f(x), and (D) f(0). X 0* X→0 X>0 11-x, for xs0 f(x) = 11 +x2, for x>0 (A) Select the correct choice below and fill in any answer boxes in your choice. O A. lim f(x) = O B. The limit does not exist.arrow_forward
- Given the graph of f(x) at the left, determine the following: a. f(6) = b. lim f(x) = C. x-2 lim f(x) = x-6 d. lim f(x) = x-2- =arrow_forwardUse the given graph to: + + + -4, -3 -2 -1 4 3 4+ 3: f(x) 1 2 3 4 X Find lim f(x). X→arrow_forwardConsider the function, f(x) = 3x -4. Write and simplify the difference quotient and Find the limit as h approaches 0.arrow_forward
- Evaluate the following limits of the function: Vx - 5 f(x) = 25 – x a. lim f (x) b. lim f(x) x→25 x2-x-2 Consider the function h(x) : |x-2| a. Does lim h(x) exist? Explain your answer. x-2 b. Sketch a graph of h(x).arrow_forwardFind the limitso f: lim 34 X+34 -V34arrow_forwardUse 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…arrow_forward
- Evaluate: a. f(1) b. f(5) c. f(8) d. lim f(x) as x approaches 8.arrow_forwardLet f(x) be given by the graph below: 20 y = f(x) 10 -20 -10 10 20 -10 From the graph, evaluate the following limits. Final answer should be a real number, oo,-oo or DNE. Explain why. (a) lim f(x) T -10 (b) lim f(x)arrow_forward
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