- courses / MATH1200 / Current Activity / Worksheet 1 From the following results, determine whether the function f(x) = (2x + 4, z<4 8, x = 4 %3D is -x + 16 z > 4 continuous at x = 4. Justify the conclusion. (i) f(4)= (ii) lim f(x)= (iii) lim f(x)= 24+ (iv) Justification AnswerD

Q: Q3)Find the asymbtotes of the function f(x)= x-4

A: To find Aysmptotes of the given function

Q: f(x)%3DX²-2x+5

A:

Q: Which one of these statements in relation to the function f(x)= x+3/x is false?

A: Explanation of the answer is as follows

Q: 2) Let f be a function given by (3x +2 if f(x) = { 3 (x² + 1_ if Find f(0), f(-2), ƒ(-1), ƒ(1) and…

A:

Q: A function f is defined by Ax + 5 f(x) 6x - 2 If f(1) = 4, find A.

A: Given: fx=Ax+56x-2  ……1   and, f1=4  ……2   To find: A

Q: 1olvsrled bne 7. Find the difference quotient f(x+h}-f(x) for the function f(x) = x2 - 1. h

A: For the solution follow the next step.

Q: 6- Do a complete analysis to sketch the following function. F(x)=2x-x²/x²-2x+1

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Q: 1) f(x) = V1- x?

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

Q: f(x) = x+1 x-3

A: Given:  fx=x+1x-3To prove: f(x) is 1-1 we know that, If f(x1) = f(x2) then x1 = x2 therefore f(x) is…

Q: Differentiate the function of y = (e4x^2+1)3 in two different ways: i.) by differentiating the…

A: Given: y=e4x2+13   As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x

Q: where is the function (5+x) / (x(x-2)) discontinuous?

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Q: Q1) write a user_define mat lab function for the following Y(x)=-0.2x+e0.5xx³+7x² a)use the function…

A: The MATLAB code for the user-defined function to perform the given operations is: MATLAB CODE…