(2) Let f(x) = -3 sin (r +). (c) And then determine the domain and range of f(x).

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(2) Let f(x) = -3 sin (+).
(c) And then determine the domain and range of f(x).
Transcribed Image Text:(2) Let f(x) = -3 sin (+). (c) And then determine the domain and range of f(x).
Expert Solution
Step 1: Domain and range of sin function

I n space t h i s space q u e s t i o n comma space w e space n e e d space t o space f i n d space t h e space d o m a i n space a n d space r a n g e space o f space t h e space g i v e n space f u n c t i o n.
f left parenthesis x right parenthesis equals negative 3 space sin space left parenthesis 1 fourth x plus straight pi over 2 right parenthesis
w e space k n o w space t h a t space sin space theta space r a n g e s space f r o m space open square brackets negative 1 comma space 1 close square brackets.
A l s o comma space t h e space d o m a i n space o f space sin space theta space i s space open parentheses negative infinity comma space infinity close parentheses

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