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sara1234 Group Title

Find the range of the function. f(x) = (x – 2)^2 + 2 (2 points) All real numbers y ≥ 0 y > 2 y ≥ 2

  • 2 years ago
  • 2 years ago

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  1. UnkleRhaukus Group Title
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    its a parabola , ( you can tell because one fo the variables is squared, a parabola will have either a minimum or maximum value

    • 2 years ago
  2. helpingtutors Group Title
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    range of parabola is the range of valid y values!!

    • 2 years ago
  3. sami-21 Group Title
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    put x=2 in the given equation you will be left with only y=2 means regardless values of x it will be y=2 now since it is Parabola which opens upward . so can you tell me what will be the range ?

    • 2 years ago
  4. sara1234 Group Title
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    y ≥ 2

    • 2 years ago
  5. sara1234 Group Title
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    ??

    • 2 years ago
  6. helpingtutors Group Title
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    Did you find any value of x for which f(x) is undefined?

    • 2 years ago
  7. sami-21 Group Title
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    yes

    • 2 years ago
  8. helpingtutors Group Title
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    think again!!

    • 2 years ago
  9. sara1234 Group Title
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    no its not right huh? @sami-21 said yes

    • 2 years ago
  10. helpingtutors Group Title
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    yep!! none of the real value of x make f(x) undefined!! So all real values of x make f(x) valid!! Therefore, what do you say about the range of y?

    • 2 years ago
  11. sara1234 Group Title
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    all real numbers

    • 2 years ago
  12. helpingtutors Group Title
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    Yes.. so, since the term containing x is squared. f(x) retains a minimum of 2

    • 2 years ago
  13. helpingtutors Group Title
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    hence, y has a restriction on real numbers as well!!

    • 2 years ago
  14. helpingtutors Group Title
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    so what is that you say now on range of y??

    • 2 years ago
  15. sara1234 Group Title
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    so the answer is all real numbers?

    • 2 years ago
  16. sami-21 Group Title
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    when you put x=2 you are left with y=2 this means whatever the value of x vale of y (range) will never be less than 2 .

    • 2 years ago
  17. sara1234 Group Title
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    guyss which is the answer!!!!!!!!!!!!!!

    • 2 years ago
  18. helpingtutors Group Title
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    Yes.. y>=2 is right

    • 2 years ago
  19. UnkleRhaukus Group Title
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    |dw:1345110368044:dw|

    • 2 years ago
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