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Emily778 Group Title

given no other restrictions what are the domain and range of the following function f(x)=x^2-2x+2

  • 7 months ago
  • 7 months ago

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  1. Emily778 Group Title
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    Please halp :c

    • 7 months ago
  2. zzr0ck3r Group Title
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    it's there any r reason that you can't plug in all numbers?

    • 7 months ago
  3. Emily778 Group Title
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    I dunno how. jeez

    • 7 months ago
  4. agent0smith Group Title
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    For the domain - are there any x-values that you can NOT plug into this function? If you can plug in any x-value in, the domain is all real numbers. For example - in a function like

    • 7 months ago
  5. agent0smith Group Title
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    For example - in a function like y = sqrt x, you can't take the square root of a negative number, so the domain is x>0. For a function like y = x^3, you can plug in any x value, so domain is all real numbers.

    • 7 months ago
  6. Emily778 Group Title
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    so the answer is all real numbers?

    • 7 months ago
  7. agent0smith Group Title
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    Well, are there any numbers you can NOT plug into x^2-2x+2 ? And don't worry if you're confused at first. A lot of my honours precalc students are baffled by finding domain of this... when it's so incredibly easy.

    • 7 months ago
  8. Emily778 Group Title
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    So is it "D={x|x>=2} R= all real numbers"?

    • 7 months ago
  9. agent0smith Group Title
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    Wrong way around. Domain is all real numbers.

    • 7 months ago
  10. agent0smith Group Title
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    And you have to find the range, by first finding the vertex of the function.

    • 7 months ago
  11. Emily778 Group Title
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    D and R are all real numbers?

    • 7 months ago
  12. agent0smith Group Title
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    Domain is all real. Range is not. Find the minimum value of the function, by finding the vertex. The x-value of the vertex is given by x = -b/(2a). Once you have x, plug that into the function to find y.

    • 7 months ago
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