4. Find all points of discontinuity in the function below. For each point, tell me which sort of discontinuity it is: x2 – 2 if x < 2 f(x) = 5.x if 2 < x <7 X – 9 if x > 7 x² . 10л: + 9

Q: Find all points where the function is discontinuous. X = 3 None x = 0, x = 3 O x = 0

A:

Q: Which of the following is the absolute minimum value of the fuk took f(x)=(x-3)^3 on interval [1,4]

A: The graph is shown below:

Q: DETERMINE WHETHER THE GIVEN FUNCTION m(x) IS CONTINUOUS OR DISCONTINUOUS AT x = -1

A: NOTE: Refresh your page if you can't see any equations. . find the left-hand limit of the function…

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: 4 x if x 2 3 = x - 2 if 0 < x < 3 x-1 if x <0 %3D

A:

Q: 2. Given the function f(x) = ., determine if the function is continuOus or not. Identify the point/s…

A: Given function f(x)= (x2-1)/(x-1) is continuous or not , determine type of discontinue.

Q: 10 The function f(x) = - has a removable discontinuity at x = 2. To remove the - 2 discontinuity,…

A: Given: f(x)=10x+x2−4x−2

Q: Determine if the following function is continuous or discontinuous at x = 0? 4 +5 f(z) = 9-3z

A:

Q: Use the given graph of the function to find the r-values for which f is not differentiable.

A: The function fx is not differentiable at any point x=c, in the following cases, 1) fx is not…

Q: Find the absolute maximum of the following function over the interval [1,3]: f (x) = x3 – 9x2 + 24x…

A: Differentiate the function with respect to  x and equate it to zero to find critical points,…

Q: x2 – 1 f (x) ; x = 1 х — 1

A: We will solve the following

Q: 2. Determine whether the function y= -x5 + x3 – 1 is even, odd, or neither. Justify your ans wer.

A:

Q: Which is the correct conclusion about the function h(x) ={V4- x2 if x - 3 if h has a removable…

A: Given function is: hx=-x-2    ;  if x&lt;-24-x2     ;  if -2≤x&lt;2x-3  ;  if x&gt;2 We have to…

Q: 1 f (x) = 3 %3D х — 3

A:

Q: Analyze the following graph of f' (x). Õver what interval is f concave down? 2 1 -4 -3 -1 4 -1 -2 -3…

A: Given  The graph of f'x  We have to find the intervals in which f is concave down.

Q: Consider the following function: - 4 if x 3 Find the values of a and b that make f continuous…

A: The function is continuous every where, if it is continuous at each point in the domain. The…

Q: Determine a point where f(x) has a non-removable discontinuity.   f(x)=x^4+3x+2/x^2−3x−4

A: GIVEN DATA : Function fx=x4+3x+2x2-3x-4        TO FIND : Non removable discontinuity of the fx Non…

Q: What type of discontinuity occurs at x = 1 for the piecewise function? if x <1 if 1<x 3+ x h(x) =…

A:

Q: Find the values of k that make the function continuous. k2 – 22x, x > 11 - f (æ) = kæ, x < 11

A: to find the values of k the function is to be continuous for x=11 value of k is 22 or -11.

Q: . Find the absolute the following functions on f(x) = x² - 6x + 5 minimums the and maximums of given…

A: As per our guideline we are supposed to answer only first question of a multiple type of questions.…

Q: Which of the following statements is true about the function below? 6z² +8x+2 1-3r if æ # g(x) 4 if…

A:

Q: For the function g(x) in part (c), how would you "remove the discontinuity"? In other words, how…

A: First, we find limx→3g(x). We rewrite g(x) as, g(x)=(x-3)(x-1)(x-3) If x≠3 we have…

Q: 5. To the right is the graph of f (X). a. On what intervals is the function f (x) decreasing? y4 y…

A:

Q: Determine whether the following function is continuous at the given point z- 3z+ 14z -5 f(2) 3z -1…

A: A function fx is continuous at x=a if limx→a-f(x) = limx→a+f(x) = f(a)  Given: fx=3x2+14x-53x-1…

Q: Determine the values of x at which the function in Figure  is: (a) discontinuous and (b)…

A: To determine the values of x at which the function is  a) discontinuous. b) nondifferentiable.

Q: Find the length of the are of the function x² = 4y from x = -3 to x = 3.

A:

Q: 22. For the following functions, identify any points of discontinuity, and if any exist, classify…

A: We will identify points of discontinuity of f(x) and g(x) and classify each points of discontinuity…

Q: Find the intervals on which the following function are increasing and decreasing and also locate the…

A: Consider the provided question, fx=x23-2x-13 We need to find the interval form which the function is…

Q: 1. From the graph, determine the function f (x) is continuous at x = -1. f(x) 3 %3D %3D -5 -4 -3 1…

A:

Q: b. Determine the discontinuities of the following functions and state why the function fails to be…

A: i) F(x)=x3-x2-1ii) F(x)=x2-10x+2

Q: I need help trying to find the global max and min for the function  f(x)=(3^(1/3))-x on the…

A:

Q: 14. Explain why there is no value of k that will make the following function continuous. 5x, if x 3…

A: Given that: f(x)=5x,   if x&lt;-1x+k,    if -1≤x≤32x2  ,   if x&gt;3

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: Find the value of k so that the function 5x +3 if x< 3 f(x) = - kx2 is continuous everywhere? if x23

A: we have to find the value of k where f(x) is continuous everywhere  Also find the domain in the next…

Q: 2x if x 2

A: This is a problem of limit and continuity. Function is called as continues if it's left and right…

Q: (4) Sketch the graph of a function f(x) satisfying (a) f(x) 2 and for x 0 for x between -1 and 2,…

A:

Q: Q3\ Determine if the given function is continuous or discontinuous at the indicated points 2_x x² +…

A: We have been given the function to us  2xx2+6x-7

Q: Use the graph of the function y=f(x) below to answer the questions. y 5- # 3- 2+ 1- -5 -4 -3 -2 -1 4…

A: The given graph is:

Q: 22. For the following functions, identify any points of discontinuity, and if any exist, classify…

A: Solution is given below..

Q: 70 The function f(x) = has a removable discontinuity at a = 0. To remove the 10+22 +2z…

A: -&gt;Given functionf(x)=7010+x2+x3-6xx3+2xNow we want to define f(x) at x = 0 in such a way that the…

Q: а. Determine the discontinuities of the following functions and state why the function fails to be…

A:

Q: Find the numbers at which the function is given   is discontinuous. At which of these points is f…

A:

Q: Are there any values of r for which the function A is discontinuous? Why?

A: We have to find out

Q: 4х + 5 f(x) 9 — Зх -

A:

Q: (b). Determine whether the function is continuous or discontinuous at the given x-value. x²-3 x=-5…

A: Given function is

Q: Determine the discontinuities of the following functions and state why the function fails to be…

A:

Q: Determine all discontinuous points of the following functions; 2<x< 3 1<x< 2 1 1- f(x) = [x] = 0sx<1…

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other…

Q: "hich of the statements a through k about the function y = f(x) graphed here are true, and which are…

A:

Q: DETERMINE WHETHER THE GIVEN FUNCTION n(x) IS CONTINUOUS OR DISCONTINUOUS AT x = 2 3x² +4 n(x) = if x…

A: For function to be continuous at any point, limiting value of function at that point must be equal…

Q: Where is the function f(x) below discontinuous? if z 2 Choose all answers that apply. f(x) is…

A: This question is related to limit and continuity, we will solve it using given information.

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.