-{ f(x) = 0 x2 I'm f(x) = { X-71 if x < 1 if x = 1 at c = 1 if x > 1 X1 f(1)-0 Imm - lim X-C X1 = *

Q: (-3 if z 2

A: Here is a step by step solution of the problem. We have proved discontinuity at x=2 by evaluation…

Q: Find the value of k which makes F(x) =(x+k)/(4k-1) if x&lt;=0 and F(x)= x^2+2x+k if x&gt;0 if…

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Q: Suppose that f(x)=(x+2)(x-2)^2. (G) Use interval notation to indicate where f(x) is concave down.…

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Q: f(x) = 52 — 2 for −(x − 1)² +1_for - 13 for 32 x Find f(4) x 4

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Q: interval a sxsband a(n) function on a open interval a <x <b. Then there exists ace (a,b) such that…

A: It is problem of mean value theorem

Q: 2) Let f be a function given by (3x +2 if f(x) = { 3 (x² + 1_ if Find f(0), f(-2), ƒ(-1), ƒ(1) and…

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Q: (4x+7 (ii) If f(x) = { 14x²-1 Isxs2 2<154 determine whether the function f(x) is continuous…

A: In this question we have to check whether the given function is continuous throughout its domain or…

Q: Where is the function f(x) = if x 0 removable discontinuity? Is it a jump discontinuity?

A: A jump discontinuity occurs when right and left limit exists but are unequal .

Q: consider the function f(x) = 2x^3 + 6x^2 - 48x + 2 May you help me figure out the missing problem

A: A function f(x) increases in the interval wherte f'(x) &gt;0. A function f(x) decreases in the…

Q: F(x) = x 1 + 3x2 - — 16х — 20 y 100 50 X - 10 -5 -50! (a) From the graph, estimate where f"(x) > 0.…

A: a) f"(x)&gt;0 By looking at the graph we can conclude that it between the point (0 to -5). As the…

Q: x'-x+2 If fx) =ア+7 6. , find f'(x). (5x-1) (A) (3x) (x'+7)(5x-1)-(x'-x+2)(3x) (x+7) (B)…

A: Given query is to find the derivative of the expression.

Q: values

A: We will find the value of x between 0&lt;x&lt;10.

Q: h(x) = 4/((x-1)^2) Show from the definition that the function h(x) = 4/((x-1)^2) is increasing in…

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Q: if f(X)=(1-2X)^5 then find f`(X)

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Q: f(x) = 1- (x - 1), xs2 lx-2, x > 2 y y 10 10 5 -10 -5 10 - 10 -5 10 -5 -5 - 10 -10 y y 10 10 5 - 10…

A: Topic - functions and their graph

Q: The graph of function f(x) = 5x – 7x² – 8 is concave - downward on

A: For the given Function  f(X) is concave downward on (-∞, 7/15)  So none of the options is correct.

Q: f(2) = lim x--> 1-      (1/f(x))= lim x-->1-       (f(1+x))=

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Q: (a) f(x) = {x*, , if xs0 %3D (b) f(x) = {*+ 2, if x<0 %3D

A: The given question is taken from the from the function in which we have to find the piece wise…

Q: given f(x)=(8-6x)e^x  use interval notation to indicate where f(x) is concave up and use interval…

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Q: p(x) = x ^ 4 + 1/x * x ^ 3 - 1/2 x Find p(- 2) and p(3) for function

A: The given polynomial is  p(x)=x4+1xx3-12 we have to find p(-2) and p(3)