anonymous
  • anonymous
Summarize all pertinent information and sketch the graph of y = f(x): f(x) = sqrt (25-x^2)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Anyone there?
anonymous
  • anonymous
Well, so what is pertinent? Your square root argument must not be negative, which restricts your domain
anonymous
  • anonymous
so -5<=x<=5

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anonymous
  • anonymous
Next, how does that restrict the domain? x^2 is always positive, so the biggest the square root part can be is 5, and the smallest is 0, so the range is 0<=y<=5
anonymous
  • anonymous
I don't know what your teacher means by "pertinent information," but you can graph from there.
anonymous
  • anonymous
Square both sides of the equation y=(25-x^2) and rearrange the terms as shown below: \[y^2 + x^2=5^2\] I might be wrong but isn't that a circle, centered at the origin with a radius of 5?
anonymous
  • anonymous
but the circle is not a function. You often can't just square both sides when it is a function. If the f(x) was really a y, then yes, it is a circle radius 5
anonymous
  • anonymous
What we actually get looks to be the top half of that circle

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