Is the function continuous at x = -2 ? Sa² + 2¤, if æ <-2 + 2æ, if æ f(x) = %3D l2³ – 6x, if æ > -2

Q: 4. Consider the function f(x) = |x + 1|whose graph is shown below. 4. a. Is the function…

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Q: Determine the value for k that will make the function continuous at c = 4. x² – 9 if x 4

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Q: DETERMINE IF THE FOLLOWING FUNCTION IS CONTINUOUS AT THE GIVEN VALUES OF X.  f(x) = 1/x^2 - 9  a.…

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Q: im (x²-C² if X<4 1 f(x) = {(x+5 x²-c² (x + 5 if x = 4 lim

A: Given:-x2-c2   if x&lt;4cx+5    if  x≥4f(x) is continuous at x=4solution:-if f(x) is continuous at…

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A: Definition of continuous function helps to check whether the given function is continuous or not. A…

Q: Determine if the given function below is continuous at x-2. Attached your complete solution and…

A: Topic = Continuity

Q: (mx²- -3x+1 f(x) = x + 1 of function x=1 continuous at the х-1 X = 1 point of What should m and n be…

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Q: 4x+5 ;x=-1 and x= 3 9-3x 14. f(x) =

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Q: 50. Is the function given by f(x) = 3x - 2 continuous at x = 5? Why or why not?

A: Given: fx=3x-2 Concept Used: Linear function is continuous everywhere.

Q: 4x -5x-6 for x +2 Given f(x) 2-V2x 4 for x = 2 Is the function f continuous at x = 2 ? Give…

A: A function f(x) is continuous at x = a if limx→a+f(x)=limx→a-f(x)=limx→af(x).

Q: 51. Is the function given by G(x) 1 continuous at x = 0? Why or why not?

A: Given: Gx=1x To check whether the given function is continuous at x=0

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Q: S 2* + 1, if x < 0 l Vx + 3, if x = 0 10. a) Sketch the graph of f(x) where f(x) = b) Is f(x)…

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Q: True or FalseA 1. A Step-function is continuous at every point in its domain

A: Given: A step - function is continuous at every point in its domain. To write: The given statement…

Q: ecos-1 x if x 1

A: If a function has to be continuous  then it must to follow below Left hand limit = Right  hand limit…

Q: (x² + 8, if x4) Consider the function f(x) = Find the value of B such that f (x) is continuous at x…

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Q: x² + 1, if x < 1 3x, if x 1 is f(x)continuous at x = 1? Explain. 16 If f(x) %3D

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Q: 49. Is the function given by g(x) = x² 3x continuous at x = 4? Why or why not?

A: Given: g(x)=x2-3x Determine the limit at x=4. limx→4g(x)=limx→4(x2-3x)

Q: Q4: A) Car A is travelling west at 60 km/h and car B is travelling north at 1150 m/min. Both are…

A: Let at any time 't', the distance of car A from the intersection is x, and the distance of car B…

Q: At what points are the functions continuous? x + 3 f(x) 2 - et

A: The given function is fx=x+32-ex

Q: Q3) if the continuous function is : 4x+1 F(x) -+k at x= h. Find the value of h,k.

A: 3). Given function is:   fx=4x+1x&lt;hx3+kx=hx2+1x&gt;h Solution: A function fx is continuous at x=h…

Q: x+1 Is the function f(x) - X2 *Xく2 ;ン2 x >2 2X-1 continuous at x= 2? Why or why not? Show solution.

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Q: х? — 4 if x 3

A: Given: fx=x2-4x-2,x&lt;2ax2-bx+3,2≤x&lt;32x-a+b,x≥3 We know that given function will be continuous…

Q: f(2) = 5 limx→2f(x) = 3 ||

A: Given, f2=5andlimx→2fx=3

Q: | mx — 11 if x < - 6 – 6 - Let f(x) l x2 + 4x – 5 if x 2 - 6 If f(x) is a function which is…

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Q: : Find the value of k that makes function continuous at x = 5 5x? – k x 5 f(x) =

A: Limit of a function at a point exists if the left-handed limit and right-handed limits at that point…

Q: Use the graph of y = f(x) to answer the question regarding the function. Step 4 of 4: Is f(x)…

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Q: As x approaches 0, the left and right limits equal 3. However, the actual y-value at that point is…

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Q: X+1 5) Is the function given by f(x) x2 - 8x + 15 continuous at x = 3? Why or why not?

A: f(x)=x+1x2-8x+15

Q: For what value of the constant c is the function f continuous on (-∞, 0)? if x 5 C = Need Help?…

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Q: f k车9. if D < X< 1. if 1大メ$4. if X7 4, 3-X X-3 IS the Functibn 9(x) Continuous on |I4 ? Un (-∞ 8,0)?…

A: Given: gx=xif x≤03if 0&lt;x≤13-x2if 1&lt;x≤4x-3if x&gt;4 The objective is to determine if the…

Q: The diagram below will be used to answer the following questions: fix) 10 11 Is the function…

A: Given query is to find statement is true or false.

Q: Determine if the function is continuous or discontinuous at x = 2. x2 - 1, if x 22 h(x) = 2x-1, if…

A: We have to find

Q: Find the value of a and b that will make the function continuous. for x 1/2

A: The function f(x)=1x,        for x&lt;-1ax+b,  for  -1≤x≤121x,         for x&gt;12. We have to find…

Q: 4. Determine the possible pairs of values (a, b) which make the function below continuous…

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Q: Consider the function fcx) = (メフチ 5 E- xet X if x >5 if メ=5 5-X S> X f! Is fe) continuous at x=5?…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Given the graph below, what can you say about the function at x = -1? Continuous Not Continuous

A: Explanation of the answer is as follows

Q: 3. Is the function given by g(x) = x² x = 4? Why or why not? 3x continuous at

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Q: Give the graph or the formula of a function that is continuous but not differentiable at x=0.

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Q: Kindly solve with complete solution DETERMINE IF THE FOLLOWING FUNCTION IS CONTINUOUS AT THE GIVEN…

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Q: f(x)=√√x at x = 7

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Q: Find the value of k that makes function continuous at I = 4 2x + 8 x > 4 f(x) = 4x k r< 4

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

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

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Q: Suppose f(x) is a continuous function with f(-2) = 4 and f(1) = -1. What can we conclude about

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Q: If functions ƒ(x) and g(x) are continuous for 0&lt;=x &lt;=1, could ƒ(x)/g(x) possibly be…

A: According to continuity theorem if f(x) and g(x) are continuous on [0,1] then if g(x) ≠ 0 on [0, 1]…