anonymous
  • anonymous
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:
Mathematics
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anonymous
  • anonymous
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:
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
do you know the meaning of all this? domain: range: even/odd: symmetric about: x intercepts: y intercepts
anonymous
  • anonymous
Yes I did it during the beginning of the semester but I dont really remember them now @myko
anonymous
  • 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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anonymous
  • anonymous
so what do you think the domain of this function is?
anonymous
  • anonymous
2, infinity?
anonymous
  • anonymous
not really. It will be all real numbers. Ok with that?
anonymous
  • anonymous
you could plug any x in there, right?
anonymous
  • anonymous
nothing stops you from doing it
anonymous
  • anonymous
Oh I see
anonymous
  • anonymous
no think about range. You know how the sin(x) function looks like?
anonymous
  • anonymous
|dw:1433319560083:dw| Something like this?
anonymous
  • anonymous
yes
anonymous
  • 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
  • anonymous
Yes so would it be [-3, 3]
anonymous
  • anonymous
yes
anonymous
  • anonymous
now what about even/odd?
anonymous
  • anonymous
Odd? @myko
anonymous
  • anonymous
right

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