QUESTION 4 Find the intervals on which the function is continuous. у зе continuous everywhere discontinuous only when d...
In the following exercises, find the value(s) of k that makes each function continuous over the given interval. 145. f(x) = $3x + 2, x<k 12x – 3, k < x < 8 3 153. Apply the IVT to determine whether 2* = x has a solution in one of the intervals [1.25, 1.375] or [1.375, 1.5]. Briefly explain your response for each interval. Determine whether each of the given statements is true. Justify your response with explanation or counterexample....
(a) Graph the given function, (b) find all values of x where the function is discontinuous, and (c) find the limit from the loft and the right at any values of x where the function is discontinuous 4x2 x) X-3x+ 2 x>0 xs0 (a) Choose the correct graph below O dos (b) Select the correct choice below and, if necessary, fill in the answer box within your choice, O A. The function is discontinuous at (Use a comma lo separate...
7 of 15 (0 complete) Find all values xa where the function is discontinuous. For each value of x, give the limit of the function as x approaches a. Be sure to note when the limit doesn't exist 7 + x f(x)= O Select the choice below and, if necessary, fill in the answer box/es) within your choice (Use a comma to separate answers as needed.) O A The function is discontinuous over the interval The limit is (Type your...
2. Find the value of c so that the function is continuous everywhere. f(x) = 02 – 22 r<2 1+c => 2 {
trice Poage, January 20, 2016 2: Find the intervals wherc this function is continuous: 32 -4, 22 6-2x2, f(x) =く -1 < x < 2
4) Identify the following key features/properties using intervals only: intervals when the function is positive/negative, intervals when the function is increasing/decreasing, intervals when the slope of the function is positive/negative, and intervals when the slope of the function is increasing/decreasing do the questions.) All calculations must be performed using exact values (fractions and radicals) cm Part A - Knowledge/Understanding and Application, Making Connections 1) Sketch the rational function f(x) hand: domain, intercepts, asymptotes, and behavior near the asymptotes. You would...
2. Find the intervals on which the following function is continuous. tan r B( ) = V4-12 3. Find the derivatives of the following functions (a) f(z)= /5x +1 (b) gla) = (2r -3)(a2 +2) (c) y = In (x + Vx2 - 1) 4. Find the intervals on which the following function is decreasing. f(z) = 36x +3r2 - 2r 5. Evaluate the following integrals. r dr (a) sec2 tan (b) dar 3 (c) da 5x+1 1. Sketch the...
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Question 12 Find all points where the function is discontinuous. No - C x = -2.x = 0 c.x=0, x= 2 x = 2 x = -2, x = 0, x = 2 C C Question 15 lini size Find the limit using lim x - 2x + sinx C -1 1 does not exist 0 0
Determine the intervals on which the given function is concave up or down and find the point of inflection. Let f(x) = x(x - 5) The x-coordinate of the point of inflection is 225/64 , and on this interval f is The interval on the left of the inflection point is Concave Down The interval on the right is Concave Up and on this interval f is Determine the intervals on which the given function is concave up or down...
Find the value x a where the function is discontinuous For the point of discontinuity give (a) f(a) if it exists. (b) limfx). (c) lim f(x), (d) lim 1x), and (e) identify which conditions for continuity Affx) are not met 10 a= (Use a comma to separate answers as needed) (a) Select the choice below and, if necessary, fill in the answer box within your choice O A 8a)= OB. f(a) is undefined (b) Select the choice below and, if...