7. Describe the interval(s) on which the function is continuous. Explain why the function is continuous on the interval(s). If the function has a discontinuity, identify the conditions of the continuity that are not satisfied. -2x+3, -1

Q: f(x) : ²+4x-5 a+5 c = - 5

A: The objective of the question is checking the continuity of the given function at given point.

Q: (9 pts.) Determine if the following function is continuous at x=-2. If not find the type of the…

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Q: Assume whether the function graphed in the accompanying figure is continuous on [-1,3]. y = k(x) 2 3…

A: for being a contrinuous function this condition should be satisfiedlimx→a-f(x)=limx→a+f(x)=f(a)from…

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. x² + 2x…

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Q: (b) f(x) - (x + 2x')', a- -1

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Q: 3. Use the definition of continuity and the properties of limits to show that the function is…

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Q: B. Determine the intervals wherein the function is continuous and the values of x wherein there is…

A: Check the graph of the function in problem 5 is continuous or not, Definition of continuous…

Q: 4. Analyze the continuity of the function below. Determine the type(s) of discontinuity and justify…

A: To determine the types of discontinuity and justify your answer:- f(x) = xif x<03if x = 0x2if…

Q: Use the definition of continuity to determine whether the shown is continuous at a = 2.

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Q: 3) Determine A and B that makes the function continuous as x approaches 0 and 1? y A x>1 x-B x<0

A: Given:           y=x2                  0≤x≤1A                   x&gt;1x-B             x&lt;0 Given…

Q: S(x + 4)² -2 < x x < -2 f(x)

A: fx=x+42    -2≤xx2              x&lt;-2 Since the given function is a polynomial function for all…

Q: Use the definition of continuity and the properties oflimits to show that the function is continuous…

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Q: Use the definition of continuity to decide if the following function is continuous at a = -1. -1.0x²…

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Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

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Q: Use the following information to sketch the graph of a continuous function with the following…

A: The given conditions are : (a) f-3=5, f0=2, f3=0 (b) f'x&gt;0 on -∞,-3∪3,∞and f'x&lt;0 on -3,3…

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

A: Given the functionfx=x2+2xx≤14-x1&lt;x&lt;3x-3x≥3we discuss about the discontinuity of the…

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

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Q: b. Test the continuity of the following function 1, V1-x,0sIs1, at x = 0,1 (x-2, x<0 x21

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Q: { -2x + 3 x 1

A: We have given a piecewise define a function fx which definition change at x=1. The functions…

Q: 1. Consider the function 4.x + 8 { if x 0 Use the definition of continuity to determine all the…

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Q: Q3/ A) Decide if the following function is continuous using limits. x1. 2x g(x)= 3

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Q: B. Use the properties of continuity to determine where each function is continuous. 1. f(x) = 2x*- x…

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Q: (b) Redefine f(4) so that f is continuous at x = 4 (and thus the discontinuity is "removed"). f(4) =

A: The given function is: f(x)=x2-12x+32x-4

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

A: To check for the continuity of the function fx=x2+2xx≤14-x1&lt;x&lt;3x-3x≥3

Q: say whether the function graphed is continuous on[-1, 3]. If not, where does it fail to be…

A: It is clear from graph of y=k(x) , that the function k(x) is continuous on the interval [-1,1) and…

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

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Q: 1. f(x) 2. f(x) = 3. f(x) x² - 4x X 2x x²-9 x² x-2 ; C = 0 -4 ; C = ; C = 2

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

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Q: Graph h and describe the discontinuity: h(x) = { ex lnx for x &lt; 0 for x &gt; 0 Is h left- or…

A: Given the function h(x)=ex lnx.  We need to sketch the graph for the given function for x&lt;0 and…

Q: Let f(x) = −2/x and g be the function defined b)Is f . g continuous at x = 3? If not, does…

A: limit of the composite function

Q: (c) Consider the following graph of a function y = f(x): -2 -1 3 Test the continuity of f(x) at x =…

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Q: Determine whether the function is continuous at the given points. x+30 if x26 6, 0 if x <6 f(x) = Is…

A: Solution

Q: Use the definition of continuity to determine where f(x) is continuous. If it's discontinuous point,…

A: We will solve the problem

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x²+2x x≤1…

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Q: B. Use the properties of continuity to determine where each function is continuous. 1. f(x) = 2x*x…

A: Let's find.

Q: ((4— х)2 х 1 continuity at the indicated test point. If it is discontinuous, specify the type of…

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Q: (2) Determine if each function is continuous at the given value of a. Justify your answers using…

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Q: х — 3 - 40. f(x) x2 – 9 - x + 2 41. f(x) x2 — Зх — 10 - - x – 1 x2 +х — 2 - 42. f(x)

A: To find The x values at which the function is discontinuous

Q: Use the definition of continuity and the properties oflimits to show that the function…

A: Consider the given function as fx=x16-x2

Q: f(x) = X-5 if xŹ 2 at x = 2 2x if x< 2

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Q: b) Discuss the continuity conditions of the function- f(x) which shown in figure at x= 0,x = 1,x= 2…

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Q: 3. Use the definition of continuity and the properties of limits to show that the function is…

A: As per our guidelines we are supposed to answer only one question i.e. the question no (a). For the…

Q: Graph the function

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Q: 4. Discuss the continuity of the function f at x = 0. Iff is discontinuous at x = 0, is it…

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Q: 3. Consider the function h whose graph is given below. a. Is h continuous at 1 = 0? Justify your…

A: Given,

Q: B. so, find f'(2). If not, explain why not. It can be shown that f is continuous at x = 2. Isf…

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Q: Determine the continuity and, if discontinous, the type of discontinuity for the function…

A: Given query is to find function is continuous or not at x = -1.

Q: Q2/A) Decide if the following function is continuous using limits. flxl=2x,x«0 5Vx,x>0

A: We know that polynomials are continuous in their domain. Therefore, for x&lt;o, f(x)=2x and for…

Q: EDU 2x, ifx 3

A: A function, f(x) is continuous at x=c if limx→cf(x)=limx→c-f(x)=limx→c+f(x).  The limit of y at x=3…

Q: 6. This time, consider the function 2² + 2, if r>1 f(1) = 5- 1, if <1 a) Apply the (limit)…

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