S2x – 4 x² - 2 find: (a) f(0) if -1 sxs2 if 2

Q: Sx² – 4 if x # -3 -2 if x = -3' f(x) = Evaluate f(4), f(0), f(-3) and f(-2/3) %3D

A: The given function is f(x)=x2-4if x≠-3-2if x=-3

Q: x2 - f(x) Let k(x) = %3D 2x- 3 Find k' (-1), given that

A: Given:-k(x)=x2·f(x)2x-3f(-1)=-2f'(-1)=3To find k'(-1)

Q: 3-17. + -2 -1 1 2 f(x) 0.2 0.4 0.1 0.2 0.1 (a) P(X-2) (d) P(Xs-1 or X = 2)

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

Q: 9) Find f(-2). f(x)=3x2 - 8x + 7 My Answer: 10) Given f(x) = x2 - x³, find f(-10). %3D My Answer:…

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Q: 6. f(x) =-11x-7x? DEGREE: LEADING COEFFICIENT: END BEHAVIOR: As x 00, y→ As x→-0, y

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Q: (3x - 7x if x< 0 5x - 9 if x2 0 Find g (3) where g (x)

A: Given function is gx=3x2-7x if x&lt;05x-9     if x≥0.

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: Find f′(x) and f′(c).

A: Given fx=x2-4x-3  ;   c=1

Q: 3x 3. What are the discontinuities of f (x) %3D x3-3x2+x-3 а. х+1 b. x+ 1, x = 3 c. x = 3 d. x = 0,…

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Q: (r-1) (x-1) If f(x) = (2x+5) and g(x) = then the function (2) (x) is (2x-5) (2x+5) a) (E) (x) =…

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Q: 1 Vx-5 Q Find the domain of y = |x-31 lx+5| x2-25

A: The given function is: y=1x-3-1x+5+x-5x2-25

Q: f ( x ) = 5 x + 2 at x = 7

A: Given: f ( x ) = 5 x + 2     To determine: value of f(x) at x = 7 i.e, f(7)

Q: x² -9 f (x) = is 0<x<5 and x=33 at the point 3 x² – 2x – 3° - 1.5

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Q: f(6 + h) - f(6) If f(x) = 3 – 6x, then h. O -6 -6x 6x-3 O 6 O x-6

A: Just put the value instead of x in the given function f(x) as mentioned in the question.

Q: Let h(x)=f(x)+g(x). If f(x)=6x and g(x)=3x2, what is h′(−1)?Do not include "h′(−1)=" in your answer.…

A: we have to find derivarive of h(x) at x=-1

Q: Describe the concavity of the functionf(x) = -- x² 3. .2 O The graph is concave down for x O The…

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Q: -3 f( x = 3 – 2 e7, — 2 е -3 18 12 - е z 1. Find domain of f(x)

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: 33 + 5f(x)+7²(f(x))° = 0 and f(-2) = –1, find f'(-2).

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Q: 4x-1 if-4sxs2 If f(x) = find: (a) f(0). (b) f(1). (c) f(2), and (d) f(5). x'-2 if 2<xs 5 (a) f(0) =|…

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Q: Graph the function

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Q: x²-4 f(x) = In2-3x-4,

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Q: f(x) = x^2 - 12x + 35 g(x)= x -5 (f+g)(-4) = (f-g) (-5) =

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Q: (r+4)² -2 for a -1 Find f(-4)

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Q: The profit function of Acrosonic company is given by P(x)=-0.02x^2+300x-200,000 dollars, where x is…

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Q: ax², x 2 then f(0) = 0 If f (x) = lx² + b, x > 2

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Q: 1 -(x-6)* +5 f(x) = - 2 1 g(x): =-x -4 4

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Q: x4 x3 7. Find the critical points of f(x) =-- 3x? + 10 - 3x² + 10 4 3

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Q: 2-K2 a. h(x) = where k is a constant %3D

A: here we the quotient rule to find the derivative ddxuv= vdudx -udvdxv2  According to our guideline…

Q: Describe the end behavior for this fucntion F(x)=x^5-3x^3+2x-4

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Q: Determine £'(F}. 5s + 44s + 192 F(s) = (s - 3)(s² + 4s + 20)

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Q: X-2 9) f(x) = %3D x2 - x - 30

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Q: 7x -1 Given f(x) = x+7 1 and g(x) = . What is g(f(x))? A gf(x)) = – x 7x B g(f(x)) = X+7 7x-1 ©…

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Q: Let h(x)=f(x)g(x) where f(x)=2x2−4x, g(−2)=4, and g′(−2)=−5 what is h′(−2)? Do not include…

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Q: 8) f(x) = 2x + 5; g(x) = 3x - 1 Find bo

A: Givenf(x)=2x+5g(x)=3x-1

Q: 5. f '(x) = 7x + + – x³ find f(x) if f(0) = 7 -

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Q: (7 Find the absolute extreme values (maxima minima) for gcx) = -x²+(6x -8 on Ca,4].

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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: f4) = (/4x² +8 - x²)* (8x + 4x)V4x2 + 8 - 24x - 32x V4x2 +8 If then f'(x) =

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Q: [2-x² for x2

A: Given:

Q: s3+3s2-s-3 - Find the f(t) if F(s) = (s²+2s+5)

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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: 2x-3 5. Let f(x) = find 3x+4 Ax as Ax -0

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Q: 2x-3 5. Let f(x) = find as Ax - 0 Ax 3x+4'

A: Given that: f(x)=2x-33x+4

Q: f)-\2+1 x>-5 3x-2 xS-5 find f(-5) and f(3). x +1 x>-5

A: For f(-5)    at x=-5  first function is given so put x=-5  in first function. And for f(3)   it…

Q: x² - 4 x2

A: Consider the given piecewise function

Q: x -x-2 Find f"(3) if Ax)- x-2 O a) 1 O b) -1 O c) 2 d) -3

A: using quotient rule

Q: Describe the concavity of the functionf (x) = x V9 –- x² O The graph is concave down for -3 < x < 0…

A: The given function fx=x9-x2

Q: 1 and g(x)=x² +2, then go fmay be expressed as x-2 axa + 2ßx + ¥ χα + βχ - β If f(x)=- g(f(x)) = =…

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Q: Sx² +2, x 1' 7. If g(x) = then g'(1) is

A: x2+2 must be chosen since x in g'(x) is 1.

Q: 6. f(x) = x² – 4x, g(x) = 2-3E %3D a) (f - g)(-5)

A: Given: f(x)=x2−4xg(x)=2−3x