1. Study the continuity of f (x) at x = 2 in each of the following; %3D 3x +1 if x> 2 x – 1 if x< 2 a) f(x) = %3D x2 if x < 2 b) f(x) = < 2x if x> 2 %3D if x = 2 c) f(x) = * + 5 if x> 2 x3 if x < 2

Q: 6. Let r(x) = 1 + 3r– 10 and s(x) = x- 2. Build a new function, 1(x), for which 1(x)=| State any…

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Q: 2. Sketch a graph of a quartic polynomial function y = fx) such that: € fu) > 0 when - 2 1

A: In the given question we have to draw the graph of a quadretic polynomial s.t f(x)&gt;0 when…

Q: to STUDENTS of 5さ WHAT FUNCTION =C(x) =

A: Given query is to find the average rate of change form the given function m

Q: . The domain of f(x)=3x+5+2x' is

A: We will find the domain of f(x)= 3x+5+2x3

Q: Let if a < - 5 if -5 < x < – 1 3 if -1<x < 3 f(x) = if a 3 and g(2) = / r(e)dt Determine the value…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: if 4x Suppose that g(x) = {ax + b xS-1 if - 1<x < 2 if x2 2 Find the value of a and b such that g(x)…

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Q: Check the differentiability and continuity of the function below.: 3x 1. f(x) = 2. f(x) = 5- x² at x…

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Q: 5. The function f(x) is defined as: 4x3 +17x2 + 13x +36 x -4 ontinuous for all values of x. What…

A: solution:-f(x)=4x3+17x2+13x+36x+4     x&lt;-45x2+2x+a                       x≥-4f(x) is continuous…

Q: srit ni bomoheq (2)noitsmotan611 betsoibni sdt 1911s riqsig sdt to noitsupe arit 91W (S noitanut…

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Q: (x2 + 3x f(x) = 3 – 6x if x -2 Check the continuity of the function f(x) at x = -2

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Q: 4. TRUE or FALSE: If f(a) 0, then # x-a is a factor of f(x).

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Q: 1. What degree are the following polynomials (3.a and 3.b) and monomials (3.c and 3.d)? (a) f(æ) =…

A: Note: According to bartleby we have to answer only first three subparts please upload the question…

Q: What type of discontinuity occurs at x = 1 for the piecewise function? if x <1 if 1<x 3+ x h(x) =…

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Q: 1. A quadratic function is defined by f(x) = 2x + 6x - 20. Which of the following expresses f(x) as…

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Q: ii) f(x) = x*-1 %3D x²-1

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Q: 1. Examine the continuity of the fiunctions given below: (a) f(x)=x -5atx 2 (b) f(x) =2x +7atx 0

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Q: 6. Choose the function that has been vertically compressed, shifted to the right, and up from it's…

A: To choose the function that has been vertically compressed, shifted to the right, and up from its…

Q: 15. If f(x)=x-1 and g(x)=1/ (x+1) , g(f(1/2)),g(g(2)) and f(f(x)) 02, 3/4, x+2 02, 4/3, x-2 02, 4/3,…

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Q: (2х + 6, хS \x² + 3, x > Finition of continuity. f(x) =

A: Given,                  f(x) = 2x+6x≤0x2+3x&gt;0Now,                LHL = 6 And        RHL = 3Here,…

Q: 4. Graph the piecewise function 3 if -1 2

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Q: Check the continuity of the function f(x) at x = -2 f(x) = - 6r + 3x l-6x if xs-2 if x>-2

A: Given,         The function fx at x=-2.           fx=x2+3xif x≤-2x3-6xif x&gt;-2

Q: + 3x - 6x if xs-2 if x>-2 A) Check the continuity of the function f(x) at x =-2 f(x) =

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Q: 6. Graph the piecewise defined function. 1x+4] if x2

A: We will make a table for each piece of the function y=|x+4| , x &lt; -3 x -3 -4 -5 -6 y 1 0 1 2…

Q: Q1) Check the continuity of the given function at the given c (or c's). 2-4z+3 if I+ 3 { (a) f(x) =…

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Q: 27. A rectangular field is to be enclosed with 200 meters of fence. Which of the following models…

A: Area of rectangle is given by Area of rectangle=l×w Here l and w is length and width of rectangle…