A community for students.
Here's the question you clicked on:
 0 viewing
sara1234
 3 years ago
Find the range of the function.
f(x) = (x – 2)^2 + 2 (2 points)
All real numbers
y ≥ 0
y > 2
y ≥ 2
sara1234
 3 years ago
Find the range of the function. f(x) = (x – 2)^2 + 2 (2 points) All real numbers y ≥ 0 y > 2 y ≥ 2

This Question is Closed

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.0its a parabola , ( you can tell because one fo the variables is squared, a parabola will have either a minimum or maximum value

helpingtutors
 3 years ago
Best ResponseYou've already chosen the best response.0range of parabola is the range of valid y values!!

sami21
 3 years ago
Best ResponseYou've already chosen the best response.0put 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 ?

helpingtutors
 3 years ago
Best ResponseYou've already chosen the best response.0Did you find any value of x for which f(x) is undefined?

sara1234
 3 years ago
Best ResponseYou've already chosen the best response.0no its not right huh? @sami21 said yes

helpingtutors
 3 years ago
Best ResponseYou've already chosen the best response.0yep!! 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?

helpingtutors
 3 years ago
Best ResponseYou've already chosen the best response.0Yes.. so, since the term containing x is squared. f(x) retains a minimum of 2

helpingtutors
 3 years ago
Best ResponseYou've already chosen the best response.0hence, y has a restriction on real numbers as well!!

helpingtutors
 3 years ago
Best ResponseYou've already chosen the best response.0so what is that you say now on range of y??

sara1234
 3 years ago
Best ResponseYou've already chosen the best response.0so the answer is all real numbers?

sami21
 3 years ago
Best ResponseYou've already chosen the best response.0when 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 .

sara1234
 3 years ago
Best ResponseYou've already chosen the best response.0guyss which is the answer!!!!!!!!!!!!!!

helpingtutors
 3 years ago
Best ResponseYou've already chosen the best response.0Yes.. y>=2 is right

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1345110368044:dw
Ask your own question
Sign UpFind more explanations on OpenStudy
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
 Engagement 19 Mad Hatter
 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.