Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

sara1234

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

  • one year ago
  • one year ago

  • This Question is Closed
  1. UnkleRhaukus
    Best Response
    You've already chosen the best response.
    Medals 0

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

    • one year ago
  2. helpingtutors
    Best Response
    You've already chosen the best response.
    Medals 0

    range of parabola is the range of valid y values!!

    • one year ago
  3. sami-21
    Best Response
    You've already chosen the best response.
    Medals 0

    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 ?

    • one year ago
  4. sara1234
    Best Response
    You've already chosen the best response.
    Medals 0

    y ≥ 2

    • one year ago
  5. sara1234
    Best Response
    You've already chosen the best response.
    Medals 0

    ??

    • one year ago
  6. helpingtutors
    Best Response
    You've already chosen the best response.
    Medals 0

    Did you find any value of x for which f(x) is undefined?

    • one year ago
  7. sami-21
    Best Response
    You've already chosen the best response.
    Medals 0

    yes

    • one year ago
  8. helpingtutors
    Best Response
    You've already chosen the best response.
    Medals 0

    think again!!

    • one year ago
  9. sara1234
    Best Response
    You've already chosen the best response.
    Medals 0

    no its not right huh? @sami-21 said yes

    • one year ago
  10. helpingtutors
    Best Response
    You've already chosen the best response.
    Medals 0

    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?

    • one year ago
  11. sara1234
    Best Response
    You've already chosen the best response.
    Medals 0

    all real numbers

    • one year ago
  12. helpingtutors
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes.. so, since the term containing x is squared. f(x) retains a minimum of 2

    • one year ago
  13. helpingtutors
    Best Response
    You've already chosen the best response.
    Medals 0

    hence, y has a restriction on real numbers as well!!

    • one year ago
  14. helpingtutors
    Best Response
    You've already chosen the best response.
    Medals 0

    so what is that you say now on range of y??

    • one year ago
  15. sara1234
    Best Response
    You've already chosen the best response.
    Medals 0

    so the answer is all real numbers?

    • one year ago
  16. sami-21
    Best Response
    You've already chosen the best response.
    Medals 0

    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 .

    • one year ago
  17. sara1234
    Best Response
    You've already chosen the best response.
    Medals 0

    guyss which is the answer!!!!!!!!!!!!!!

    • one year ago
  18. helpingtutors
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes.. y>=2 is right

    • one year ago
  19. UnkleRhaukus
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1345110368044:dw|

    • one year ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.