anonymous
  • anonymous
how would you find the x an y intercepts of y=xsqrrt16-x^2 ?
Mathematics
chestercat
  • chestercat
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welshfella
  • welshfella
the y intercepts is when x = 0 so plug in x = 0 into the function and work it out
welshfella
  • welshfella
to find the x intercepts sole xsqrrt16-x^2 = 0
anonymous
  • anonymous
you will put y as equal to zero and then \[\sqrt{16}-x^{2}\] x will be 4 and -4

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welshfella
  • welshfella
i'm assuming there are parentheses around the 16 - x^2
welshfella
  • welshfella
the x intercepts will be 4 and -4 but also 0.
welshfella
  • welshfella
xsqrrt(16-x^2) = 0 x = 0 , x^2 - 16 = 0 x^2 = 16 so x = 4 ,-4
welshfella
  • welshfella
y intercept = 0* sqrt16 = ?
anonymous
  • anonymous
yint=0 ?
welshfella
  • welshfella
yes
anonymous
  • anonymous
thank you so much!
welshfella
  • welshfella
yw

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