Question

F(x)= 3sin(2x) Can someone help me find these and explain how they did it. Will FAN and MEDAL!
domain:
range:
even/odd:
symmetric about:
x intercepts:
y intercepts:

Answer 1

do you know the meaning of all this?
domain: range: even/odd: symmetric about: x intercepts: y intercepts

Answer 2

Yes I did it during the beginning of the semester but I dont really remember them now @myko

Answer 3

domain is the all possible x values that your function can take

range is the y values that function will get if youn plug all possible x from the domain

function is even if f(x)=f(-x). Or to say it in words, it has symetrical left and right sides

function is odd if f(-x)=-f(x). For example the graph of \(f(x)=x^3\)

x-intercepts is where it crosses x axis

y- intercepts is where it crosses y axis

Answer 4

so what do you think the domain of this function is?

Answer 5

2, infinity?

Answer 6

not really. It will be all real numbers. Ok with that?

Answer 7

you could plug any x in there, right?

Answer 8

nothing stops you from doing it

Answer 9

Oh I see

Answer 10

no think about range. You know how the sin(x) function looks like?

Answer 11

Something like this?

Answer 12

yes

Answer 13

so you see, it goes from 1 to -1 and so on. Never get higher or lower than that. So it's range will be [-1,1], right?
Now what about your function. It is multiplied by 3 right?