anonymous
  • anonymous
Sketch the graph of f and use it to find the domain, range, and to determine whether the function is one-to-one. f(x)=root16-x^2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
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amistre64
  • amistre64
\[\sqrt{16-x^2}\] is this the equation?
anonymous
  • anonymous
Yes.
amistre64
  • amistre64
the graph looks like angel wings.... going off in both directions

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amistre64
  • amistre64
its not a one to one function
amistre64
  • amistre64
http://www.wolframalpha.com/input/?i=sqrt%2816-x^2%29 lol... ok, not angel wings, but still not one to one
anonymous
  • anonymous
it is the upper half of a circle with radius 4
anonymous
  • anonymous
the equation for a circle centered at the origin with radius 4 is \[x^2+y^2=4^2\]
anonymous
  • anonymous
Yeah, that's what I have on my calculator. I don't remember how to do the rest though....
anonymous
  • anonymous
if you solve this equation for y you get \[y=\pm\sqrt{1-x^2}\]
anonymous
  • anonymous
excuse me i mean \[y=\pm\sqrt{16-x^2}\]
anonymous
  • anonymous
if you only take the positive part you are getting just the stuff above the x axis.
anonymous
  • anonymous
it is in fact a one to one funciton
anonymous
  • anonymous
Okay, that makes sense why it only shows up half on my graph.
anonymous
  • anonymous
oops no it isn't sorry
anonymous
  • anonymous
doesn't pass horizontal line test.
amistre64
  • amistre64
when x = -4 OR +4 we get the same y
anonymous
  • anonymous
domain is [-4,4] range is [0,4]
anonymous
  • anonymous
of course i was being stupid
myininaya
  • myininaya
satellite!
anonymous
  • anonymous
55 to go i am in awe. but might have to wait until tomorrow yes?
anonymous
  • anonymous
hello myininaya how goes it?
amistre64
  • amistre64
maybe, with the holidays its hard to get good clickers lol
anonymous
  • anonymous
This is true, lol. Thanks guys<333
myininaya
  • myininaya
i need help this guy is totally confusing me about stuff i dont what the frick hes talking about
anonymous
  • anonymous
yeah really. who does math on memorial day?
anonymous
  • anonymous
what question?
anonymous
  • anonymous
I do, apparently :P
myininaya
  • myininaya
follow me

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