3x if x<2 f(x)= ; x=2 x² +k_if x> 2

Q: Find all values x = a where the function is discontinuous. if x 4 O A. a=4 B. a=0 C. Nowhere O D. a…

A: Each parts of g(x) is already continuous is in its given interval so only we have check the…

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: A function f which has an absolute maximum and an absolute minimum should be continuous. Select one:…

A:

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: Determine whether the following function is continuous at the given point x = 3 За? + 17х — 6 1 -…

A:

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: 3. Population in a town is given by the exponential equation, P = 14000e05st in t years. a. Write…

A:

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

A:

Q: Determine the values of m and b such that function g is continuous at every real number: if r 1.

A: Since the function g is continuous.So, limx→1-g(x)=g(1)limx→1-x2-mx=-212-m(1)=-2m=1+2m=3

Q: х —1 if x<3 f: y=- 2х +1 if 3<х 5.

A: The given function y=x-1if x&lt;32x+1if 3≤x

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.