3 For the following functions, state each value of æ at which there is a discontinuity. Use the definition of continuity in terms of f(a), lim f(x) and lim f(x) to explain why each stated value of æ corresponds to a discontinuity. zat if æ >0 if a <0 a f(x)= -2x +2 b f(x) = { 22 +2 -2x +1 if æ >1 if a <1 f(x) = { 2? -3x +1 if a<-1 if –10

Q: 11. If f(x)=Vx f(x)-f(4)| The lim x→4 х-4

A: Given: fx=x To Find:  limx→4fx-f4x-4=?

Q: Sketch the graph off. At each point of discontinuity, state whether f is left- or right-continuous.

A:

Q: d) Describe the continuity of this function and make a sketch of the graph.

A:

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A: x→-3+ means on the right side of x=-3

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A:

Q: The graph below is the function f(z) -4 -3 -2 J -2 -4- Determine which one of the following rules…

A:

Q: Jse the graph of the function f(x) to answer each question. a. f(0) b. f(2) c. f(3) d. lim f(x) e.…

A:

Q: Use the graph of the function f shown below to respond to each prompt. The first prompt is worth 3…

A:

Q: a. Draw a graph of a function that satisfies the following conditions. Then, state if the function…

A: Let us define a function which satisfies the given condition.f(x)=6-2x-2 when x≠34 when x=3 Now we…

Q: By using the general properties of continuity, determine where each function is continuous: a. b. 8…

A: Let us examine the continuity by using the definition of continuous function.

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A: Given, The function f(x)=2x2+1.

Q: For the function shown below, determine the following: a. limf(x) b. limf(x) ズーラ2 c. lim f(x) d.…

A:

Q: For the function f(x) shown below, determine lim f(x). f(x) = x² - 10 -3 - 2x for for +-←æ x -4

A:

Q: Write the domain of the function f(x) = arcsin(æ), using interval notation, in the space below.

A:

Q: Find the lim as h approaches 0 for the given function

A: Given f(x)=x2+5limh→0f(h+4)-f(4)h

Q: Evaluate in terms of the constant a.

A: The limit of a function limx→Xfx=Y means that value of  function fx can be as close to Y by making…

Q: (8+h)³ – 512 lim h-0 h

A:

Q: 3. If f (x) = (x² – 1, if x 3 3.a) lim f(x) X-3 3.b) lim f (x) 3.c) lim f (x) X-1

A: The given function is f(x)=x2-1,if x&lt;3x+5,if x≥3

Q: Use the graph to determine whether each statement is true or false. lim f(x) = -2 X→-2+ 7) +++ -5 -4…

A: To find the limit of function using given graph.

Q: - 27. Determine k so that lim (3e-kt — k) = 8118 I T 5

A: We have to find the value of k for which given limit is true.