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:

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- chestercat

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- anonymous

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

- anonymous

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

- anonymous

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

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## More answers

- anonymous

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

- anonymous

2, infinity?

- anonymous

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

- anonymous

you could plug any x in there, right?

- anonymous

nothing stops you from doing it

- anonymous

Oh I see

- anonymous

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

- anonymous

|dw:1433319560083:dw|
Something like this?

- anonymous

yes

- anonymous

|dw:1433319676529:dw|
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?

- anonymous

Yes so would it be [-3, 3]

- anonymous

yes

- anonymous

now what about even/odd?

- anonymous

Odd? @myko

- anonymous

right

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