Let f(x) a sin (k(r - d)) +c, for 1 < x<7. The graph of f is shown on the diagram below. A 5.+ 4 3 21 1 1. 2 3 4 The graph of f has a maximum at A(2, 5) and a minimum at B(4, 1). (a) Find the value of: (i). a; (ii) c. (b) (i) Find the value of k. (ii) Find the smallest possible value of d, given d> 0. () The graph of f is translated by a vector to give the graph of a function g such that x) =3 has only one solution in the given domain. (c) Find the value of b.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Let f(a) = a sin(k(x - d)) +c, for 1 <r <7.
The graph of f is shown on the diagram below.
A
5.
4.
1 +
B
1
3
4.
9.
The graph of f has a maximum at A(2, 5) and a minimum at B(4, 1).
(a) Find the value of:
(i). a;
(ii) c.
(b)
(i) Find the value of k.
(ii) Find the smallest possible value of d, given d > 0.
The graph off is translated by a vector
to give the graph of a function
such that
g(x) = 3 has only one solution in the given domain.
(c) Find the value of b.
Transcribed Image Text:Let f(a) = a sin(k(x - d)) +c, for 1 <r <7. The graph of f is shown on the diagram below. A 5. 4. 1 + B 1 3 4. 9. The graph of f has a maximum at A(2, 5) and a minimum at B(4, 1). (a) Find the value of: (i). a; (ii) c. (b) (i) Find the value of k. (ii) Find the smallest possible value of d, given d > 0. The graph off is translated by a vector to give the graph of a function such that g(x) = 3 has only one solution in the given domain. (c) Find the value of b.
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