ifX三-2 X+3 -2x+1 if -2ZXE 2 If x>2 detemine the value of the following: F(-3) F (2)

Q: 2x + 3, if For f(x) %3D (3x²- 11, if 17) f(5) = 18) 3f

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Q: f"(x) = -2 + 36x – 12x², f(0) = 2, f'(0) = 14 f(x) :

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Q: 4x2 + 3x + 2 If f(z) = then: f'(z) - f'(3) -

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Q: 3x2 + 5x + 3 If f(x) then: f'(x) = f'(2) =

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Q: 2x - 3x + 13x+a if x#2 f(x) = . X-2 b if x = 2

A: Solution:- It is give that f(x) is continuous at x=2  and the given function is  f(x)=…

Q: fx +1 3- ax? if x > 1 if xs1 2. f(x) = %3D

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Q: (-x -2 -2SXS-1 -1<xS1 1<xS2 find f(1). f(-1). f(1.5), f(-1.5). ff(0.5)) (-x+2

A: We  have given  fx=-x-2      -2≤x≤-1x                  -1&lt;x≤1-x+2       1&lt;x≤2

Q: -343x x = -2 g(x) = { (x – 1)(x+ 2) x = -1 | a3 – 22 +1 , x + -2, –1 g(1) =

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Q: . f(x) = 5x + 2; g(x): -2) - f(x) =x - 7; g(x) = 2x + 14

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Q: x2 -4 if x 3

A: Find the values of a and b that makes fx continuous everywhere fx=x2-4x-2    if x&lt;2ax2-bx+3    if…

Q: 2. f(x) = x 3 - 10x 12 = 0 a.

A: We use synthetic division method

Q: -3x +4, x <-2 18. If f(x) = {,2 - 2, x2-2 find f(-2). A. -6 B. 2 C. 10 D. -2

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Q: 3x + 6 If f(x) find: 2x +2 f'(x) = f'(3) =

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Q: (x-1 f(x)= {2x -1 |-3x +8 if if xs-2 if -2 4 f(-1) = f(-4) = f (5) =

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Q: 4 – x2 - X 3 (2х — k+h

A: For continuity, we must have the left-hand limit equal to the right-hand limit at x=2 and x=3 For…

Q: 2. f (x) = -3(x – 1)²(x² – 4)

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Q: Graph the function

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Q: x+6 if x 2

A: Given that: f(x)=32x+6x&lt;-24-x2-2≤x≤2-(x-2)2x&gt;2

Q: 1 f(x) %3= x2-9

A: Given,           y = -1x2-9

Q: e. As x+, y =-3 x+2x-3x* → f. As x-2, y=4+5x →.

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Q: Find the function value, if possible.

A: Solution:Given     f(x)=2x+1x&lt;02x+2x≥0to find the function value

Q: if x<-5 f(-6) f(1) 3x-6 if -5sx<2 Given what is the value of .Blank 1 3-1 fx22 1/3

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Q: 4x³ – 3x +5 13x +5) x²- 2x åx, then f(0) =. If dx = x² – 2x A) 5 8

A: Given that, ∫4x3-3x+5x2-2xdx=∫fx+13x+5x2-2xdx Then evaluate f0

Q: f(x) = 3x + 8 f(x) = - 2 *= 2 f(x) = -x? + 3x +9 x= -6

A: As per our guideline we are supposed to be answer only three subpart of question you can repost…

Q: 2) f(x) = {*+ 2 , -1<x<0 0 <x <1 2) f(x) = {* +? х,

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Q: z(#-x)- 202 What is the value of when X =u e

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: f(x) = (x – 1)5 – 2 -

A: Given: The function is f ( x ) = 12 x-15 - 2 . To sketch:  Graph of f ( x ) = 12 x-15 - 2  using…

Q: F(x)=2x+9 If f(x)=19, what is x?

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Q: 2 4x f(x) = * - 9 I + 2

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Q: 2. f(x) = √x²-4 if x<2; √x-2 if x≥2 ; a= 2

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Q: 3. h(x) = -2x³ + 5x² + 4x° – 3x + 12x? - 4 !! f (x) f(x) →_ as x → -00 as x → +00

A: We have to find the limit of the given function.

Q: f(x)=3x^1/5(x^3-9) f'(3)=?

A: The objective of the question is find the derivative at x=3 . That is f'(3).

Q: F(x)={3x+3 if x<0 {2x+6 if 20 (a) f(-2)= (b) f(0)= (c) f(3)-

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Q: S2x – 4 x² - 2 find: (a) f(0) if -1 sxs2 if 2 <xs 3 If f(x) (b) f(1) (c) f(2) (d) f(3)

A: As there are multiple sub parts a), b) and c)  are solved here.

Q: f(x)=x2-2x+4     g(x)=x2+2x-4 (f o g)(4)

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Q: x²-1 3. f(x) = -1;ƒ' (1) 2x+1

A: Solution is given below:

Q: 3x2 + 8x + 6 If f(x) = then: f'(x) = f'(2) =

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Q: f(x) -3x + 5 -3 く x < 0 三 -3 X = 0 -2x

A: The given function is fx=-3x+5    if  -3≤x&lt;0-3            if   x=0-2x         if    x&gt;0.…

Q: (2x +1 if x<1 F(x)=1-2x +3 if x21 2. f(-2) = f(6) = f(1) =

A: Here we have to find the value of the given function at the required points. Initially we have to…

Q: f'(x) = -2xe f"(x) = (4x² – 2)e- f(4) (x) = 4e* f(3) (x) = -4xe-" (2x² – 3) (3 –12x² + 4x*)

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Q: a) f(x) =e**+ 2x +5) 35 26 f(x) =In(x +10x + 6)

A: The detailed solution is given below Thank you

Q: f (x) = -422 - 2 f (x) = 4x² – 2 f (1x) = +a² - 2 D f(2) = – 2

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Q: a. Ak x+2, y=x→_ b. As x→2, y =-x →_ 6. As x → 2. y =x'+ 3x² →. d. As x→-0, y =-3x² →. e. As x→2, y…

A: answer of given question is in step 2

Q: (a) yaf (x)-2x+1 (b) y-g (x)-(5 for x>0 (-5 for x <0 (0 for x-0 (c) y-h (x) -x+1

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Q: (-1, xS-4 2) f(x) = {2x + 2,-4 0 -8 64-2

A: We have to find the graph of the given function

Q: 2 f(x) = x² - 9 %3D (- 4,f(– 4)) = (0,f(0)) = (4,f(4)) =

A: Given that  f(x) = 2/(x2 - 9)  We need to find the following points. Now, f(-4) = 2/((-4)2 - 9)…

Q: f(x) = {" 2x – 4 if x > 2 if x 4 . 6 x -6. -4 -2 2

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Q: find the value of f(-1) and f(3) y={3x+1      if x<3} {x^2      if x≥3}

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Q: 1. f(x) = -2x 2. f(x) = -2x + 2 3. f(x) = -2x² – 5

A: Given: fx=-2x, fx=-2x+2, fx=-2x2-5 We know that ddxxn=nxn-1…

Q: f(x) 1/27(x^5+4x^3)    a=-13 (f^-1)'(-13)=?

A: Given f(x)= 127(x5+4x3)   , a=-13 We have to find (f-1)'(-13) firstly  we will find out the…