Find the function f(x) = Ca whose graph is given. f(x) = (x, Y) = (-3, ) 40 %! 27 (x, y) (0, 5) y 10 5 -10 -5 10 -10

Q: 4 -2 f(x) = -5x* + 2 + 3x %3D differentiate each function with respect to x

A: Differentiate with respect to x.

Q: 3 2 1- -1- -2 -3 4 g(x) = (x – 1)² – 4 | g(x) = (x + 1)? – 4 g(x) = (x – 3)² – 8

A: Given query is to find the equation of the graph.

Q: Determine a and k so the given points are on the graph of the function. (1,2), (2, – 33); y = a(x+…

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Q: The domain of the function y f(x) from the given graph is y=f(x) 0. (a) (-4,6) (b) [-4,6] (c) [-2,3]…

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Q: Graph the following functions on the same axes. (a) f(x) = 4% (b) g(x) = 4*+3 (c) h(x) = 4* -1 (d)…

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Q: Find f. "(x) = + 6x + f(0) =, f(1) f(x) 2x4 +x + 4x +3

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Q: :) is one-to-one and f(11)=-9, then f(-9) = (f(11))-l =

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Q: 1 3 4 -3 -6 -7 A = %3D 3 3 -4 -5 -3 9

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Q: If x5 = 15.21 and the absolute error in x5 is 0.02, then the relative error % in x5 is %3D

A: For example, take a one litre bottle and and take a one litre water that is measure to be one litre,…

Q: 5. f(x) = c= x3-x %3D

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Q: Linearize f(x) = (x2 - 3x + 3)2.1 near x = 3. %3D

A: Consider the function  f(x)=x2−3x+32.1

Q: If f(x) = x²/(4 + x), find f "(4). f "(4) = %3D %3D

A: The given function is f(x)=x24+x

Q: Let f(x) = x+9 and let g(x) = /x. Find the value of (f+g)(x) when x (a) 2 (b) 7 = 4. %3D (c) 9 (d) 5…

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Q: (1 point) Let f(z) = r² – 6x and g(x) = x-6. Evaluate the following: %3D %3D 1. (fo g)(z)= 2. (go…

A: Consider the functions f(x) = x2 - 6x and g(x) = x - 6 If f(x) and g(x) are the two functions then…

Q: Find the intervals where g(x)= -2(4x+1)10 is increasing and where it is decreasing

A: Find first derivative using exponent rule and chain rule.

Q: 3 (a) Find g(-4), g(-2), g(0), g(2), and g(4). g(-4) = g(-2) = g(0) = g(2) = g(4) = (b) Find the…

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Q: f(x) = x3 + 3x

A: if first derivative is positive in the that interval f(x) is decreasing

Q: Suppose that E(X)=3 and E(X")=11. Then Var(3X+1)=

A: From the provided information, E (X) = 3 and E (X2) = 11

Q: 1. f(x)= 4* and g(x)=x³ 2. f(x) = x? and g(x)=5* Solution: Hint: Evaluate f(-100), g(–100), f(100),…

A: We have to find function end behavior

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

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Q: 6. f(x) = 2(5)* - 3 Reflection: Shifts:

A: Given, f(x)=2(5)x+1-3