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

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

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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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 -