find the domain and range
a) y=1+sin x
b) f(t)= 3+cos 2t
c) g(X)=sqr(16-x^4)

Question

find the domain and range 
a) y=1+sin x       
b) f(t)= 3+cos 2t
c) g(X)=sqr(16-x^4)

apoorvk · Answer

post what you think you answer is... or if you want us to tell you *how* to do it.

ash2326 · Answer

a) y= 1+sin x
We know that domain of sin x is all real numbers so the domain of y is also all the real numbers.
Now the range of sin x is [-1, 1] so
$$y= 1+\sin x$$
y's range will be [-1+1, 1+1]
or[0, 2]
Now  the second part is similar to this, Can you solve it?

anonymous · Answer

yes the domain of sin ,cos is R and the range is [1,-1] right?

ash2326 · Answer

Yeah

apoorvk · Answer

ya

anonymous · Answer

ok but then the question used transformations on the sin and cos equations , so i think i have to memorize the graph of both of them just to be sure when i use any trans.

anonymous · Answer

yes i think i will be able to solve the second part ,after i got the first one 
thank you so much.

ash2326 · Answer

Great, Did you try third part?