6. A function is defined byf(x) = Asin(Bx) + C, –n S x < T,where A, B, C E Z. The following diagram represents thegraph of y = f(x).Find the value of |(i) A;(ii) B;(ii)C.-1.(-)7. Consider the function g(x) = 4 cos x + 1, a < x< where a <a. For a = –, sketch the graph of y = g(x). Indicate clearly the maximum and minimumvalues of the function.b. Write down the least value of a such that g has an inverse. Ic. For the value of a found in part (b), write down the domain of g-1. [d. For the value of a found in part (b), find an expression for g(x).bewritten in tie form

Note: As per our company's guidelines we are supposed to answer the first question only. Kindly ask…

Answered: 6. A function is defined by f(x) =…

6. A function is defined by f(x) = Asin(Bx) + C, -n < x ST, where A, B, CE Z. The following diagram represents the graph of y = f(x). (4) Find the value of / (i) A; 2 (ii) B; (iii) C. -1- (-) -2 -

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.2: Derivatives Of Products And Quotients

Problem 35E

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Question

6. A function is defined byf(x) = Asin(Bx) + C, –n S x < T,
where A, B, C E Z. The following diagram represents the
graph of y = f(x).
Find the value of |
(i) A;
(ii) B;
(ii)
C.
-1.
(-)
7. Consider the function g(x) = 4 cos x + 1, a < x< where a <
a. For a = –, sketch the graph of y = g(x). Indicate clearly the maximum and minimum
values of the function.
b. Write down the least value of a such that g has an inverse. I
c. For the value of a found in part (b), write down the domain of g-1. [
d. For the value of a found in part (b), find an expression for g(x).
bewritten in tie form

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