Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa

Range  of   f(x)=\sin|3x^3| \ \ x\epsilon R

Option: 1

[-1,1]


Option: 2

[0,1]


Option: 3

(-1,1)


Option: 4

[0,1)


Answers (1)

best_answer

Graph of sine function

y = f(x) = sin(x)

 

Now,

\\f(x)=\sin|3x^3|, \ \ x \in R\\ assume\ |3x^3|= t,\,\,\, t \geq0\\ Now,\,from\,\,graph\,\,if\,\,t\geq0,\,\,then\,\,y= \sin(t)\ takes\,\,all\,\,values\,\,in\ [-1,1]\\ So,range\,\,is\,\,[-1,1]

Posted by

chirag

View full answer

Similar Questions