3x if x<2 f(x)= ; x=2 x² +k_if x> 2

Q: if x<1: if 1<x < 4: 2x if 4<x.

A: Given the function is continuous therefore the left hand limit will be equal to right hand limit…

Q: Determine where the following function is continuous. x-4 M(x) = 9x2 - 25 The function is continuous…

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Q: Sketch the graph of f and determine f is continuous at x = -1 and x =1: (-2x if x<-1 f(x) ={ x? if…

A: Given, f(x)= -2x if x&lt;=-1             x² if -1&lt;x&lt;1            -2 if x&gt;=1 Sketching the…

Q: Show that the following function is continuous or discontinuous at. f(x)=x2+x-6/x2-4

A: The given function is

Q: The function f(x) = 2x - √x if x ≤ 1 x²-1 x-1 2 if 1<x<2 Select one: O True False if x22 is…

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Q: For which values of x is the function below NOT continuous?

A: To find out the values of x at which the function is discontinuous.

Q: At what points is the function y = (9x-7)' continuous? 1/3 Describe the set of x-values where the…

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Q: 3- Find the value of k So that the function f is continuous at the indicated point: (kx², if x 2…

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Q: Determine the value A (to 2 decimal places) of the following p.d.f.: A(1-x²) -1<x<1 s(x)= otherwise…

A: Solution

Q: Find k so that the following function is continuous: kx f(æ) = if 0< x < 4 | 4x² if 4< x. k =

A: Given f(x)=kxif 0≤x&lt;44x2if 4≤xgiven it is continuous than it is continuous at…

Q: y y y y

A: In this question, the concept of a continuous function is applied. Continuous Function A function fx…

Q: Determine whether the following function is continuous at the given point z =: 3x2 + 14x – 5 1 3…

A: Given. The function fx=3x2+14x-53x-1  x≠13163x=13 We have to check the continuity of the function at…

Q: . Consider the function defined by f(x): x2 if x 3 . Which of the following statements is true, for…

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Q: Find a value for the constant c so that the function is continuous at 3. C = Is f then continuous at…

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.