Which of the following define the function (f - h+ g)(x) given f(x) = x3 – 2x, g(x) = x² + 3x + 1 and h(x) = 3x3 +2x² A 2x3 - х2 +х-1 B -2x- 3x2 – 5x – 1 4x3 + x2- 5х+1 none of the given choices -2х3. - x2 + x + 1

Q: 15. Find the end behavior for f(x) = lx - 2| +3 16. Find the end behavior for f(x) = -x' + 5x - 3 A.…

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Q: Find the absolute maximum and minimum of f (x)=x* – 2x -x - 4x +3 on the closed interval [0, 4]. а.…

A: fx=x4-2x3-x2-4x+3 Differentiating wrt x, we get  f'x=4x3-6x2-2x-4 Putting f'x=0, we get…

Q: 3. Find the absolute maximum and absolute minimum values of f on the given interval. a. f(x) = 12 +…

A: This question is related to maxima and minima of functions, We will solve it using differentiation.

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Q: 1. Consider the function f(x) = -x² + 6x and the point P(2,8) on the graph of f.

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Q: What is the change of y with respect to x of the function s(x) = (3x¹ + 9x³)(x² - 6x +9) ? -9x²…

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Q: 6. Determine all values of x at which the function is discontinuous. x2- 2x +5 f(x) = x2-4x 0, 4 O…

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Q: The function f(x) = 3 x*-4 x3-12 x2+1, is increasing on the interval (-00,-2)U(0,2) .A (-1,0) U (1,…

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Q: Find the absolute maximum and minimum values ​​of f (x) = x ^ 3 -3x ^ 2 + 1 on the interval [-1 /

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Q: Consider the function: f(x) = x2 – 4x + 9 Step 1 of 2: Find all critical points of the function.…

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Q: 1. a) If f(x) = x-2x + 1 and g(x) =1, find f( g(-2) %3D

A: givenfx=x3-2x+1  and gx=1x2

Q: 6. Determine the absolute maximum values of the function f(x) = x³ – 6x –1 where xe [-2,3]

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Q: (i) Discuss the continuity of the function f(x) = {x2 − 3x if x &lt; 2 2x + 4 if x ≥ 2on the open…

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Q: 5. The coordinates of the hole for the function f (x) x²-4 are: x-2

A: Given function, f(x)=x2-4x-2

Q: onsider the function: h(x) = 5 for x ≤ -4  2x+ 6 for -4<x<2 5- x2 for x ≥ 2 (D) h(−1) (E) h(0)…

A: Since you have asked a question with multiple question in a single request, we would be answering…

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Q: The function f (x) = 2x°- 36x2 + 192x- 5 has two critical numbers. The smaller one is x = and the…

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Q: The function f(x) = 2x³ - 36x² + 162x - 10 has two critical numbers. The smaller one is x = and the…

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Q: Find all the critical points of f(x) = 2x3 + 3x2 - 12x. O -1, 0, and 2 O -2, 0, and 1 There are no…

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Q: find the exact location of all the relative and absolute extrema of the given function: g(x)= 2x^3…

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Q: 3. Find (f g)(2) if f(x) = x² + a +1 and g(x) = x- x- 1. %3D %3D O (f 9)(x) = a* + 2 + 3x +2x +1 O…

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Q: 14. If f(x)= x+4 and h(x)= 4x-1, find function g(x) such that gof =h. %3D

A: Given that , fx=x+4 and nx=4x-1We have to find gx such that got=h

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Q: 9. Given f'(2) does not exist and f"(2) > 0, is x = 2 a maximum, minimum, or neither of f? Explain.

A: Given: x=2f'(2) = does not existf"2&gt;0

Q: Find the local extrama of f(x)=x²-8x+12 on a closed interval [-2,5] O a. minimum value at x =4 is -4…

A: Topic- application of derivatives

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Q: Given that f(x) = 3x – 2 g(x) = 4x + 6 and h(x) = 2x2  -8…

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Q: The function f(x) = 3 x4-4 x3-12 x2 +1, is decreasing on the interval OA (-00,-2)U(0,2) OB…

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Q: Let f (x) = 2x – 3x + 2 and g (a) = 6x 5x +2. What is the rule for (g- f) (x)? o (g – f) (x) = 4e² –…

A: 3rd Option  is true

Q: Q1: Find the value of the constant K if the function 4-x ;x#2 f (x) ={3-Vx² +5 is continuous at x=2.…

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Q: 7. Find the domain of the functions. a. g(x) = 4 +x – V3 – 5x. 7x3-x²+16 b. f(x) х2-21х-100 In(7-3x)…

A: 7 a Given function is : gx=4+x-3-5x For function gx to be defined if , 3-5x≥0-5x≥-3x≤35   Thus , the…

Q: 2. Find the absolute maximum and absolute minimum values of function on the given interval. f(x) = 5…

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Q: Let h(x) = f(x)g(x). If f (x) = 3x² – x – 4 and g(x) = -x² + 2, what is h' (-1)?

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Q: nd all the critical points of the function f(x)= ={ x² 23 if x<1 if x ≥ 1

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Q: 2. State why the function f(z) = 2z²-3-ze²+e-² is entire.

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Q: if x 2 1. Determine the constant k such that the function f(x) = {1 is continuous at a = 2.

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Q: Q3\ a) Find the values of a and b to make the functions continuous at every x: ax + 2b 2) g(x) = }x²…

A: Given function is,  f(x)=-2        ;x≤-1ax-b   ;-1≤x≤13          ;x&gt;1

Q: Find the local extrama of f(x)=x-2x+4 on a closed interval [-2,3] O a. minimum value at x =1 is 3…

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Q: (4x³ + 42x)(x² + 7)² - (xª + 21x²) · 2(x² + 7)2x (x² + 7)4 (G) f"(x) %3D 14x(21 – x²) (x² + 7) Since…

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Q: 3(a): Find the critical points of the function f(x) = 3x² – 6x. (b): Apply Rolle's theorem for the…

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Q: Find the absolute maximum and minimum of the function f(x)=x^3-9x^2+15x+42 on the interval 0 is less…

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Q: 3. Find the value of the constant k that makes the function continuous f(x) = {x² – 6, x + 4k, x 6

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Q: Let h(x) = f(x)g(x). If f(x) = –3x² + 2x – 3 and g(x) = –3x² + 4x + 3, what is h' (1)? Do not…

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Q: 5) Find all points of inflection in the function g(x) = (x – 7) 13 on the interval [0, 10].

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