Find the domain and range of y=x^2 + 2

Answer choices attached inside :)

Please explain! Thanks!! :D

Question

Find the domain and range of y=x^2 + 2

Answer choices attached inside :)

Please explain! Thanks!! :D

anonymous · Answer

answer choices A,B,C,D from top to bottom :)

agent0smith · Answer

y=x^2 + 2

What's the domain? Are there any x values you can NOT plug into this function?

Huge hint: polynomials have a domain of all real numbers

anonymous · Answer

ohhh okay.. so is it all real numbers? for the domain?

agent0smith · Answer

Range: first find the minimum value of  y=x^2 + 2

anonymous · Answer

0^2+2 = 0+2= 2?

is that the minimum?

agent0smith · Answer

Yes

anonymous · Answer

okay :)

so x has to be greater than or equal to 2?

agent0smith · Answer

Domain for x is all real numbers

Range is concerned with y.

anonymous · Answer

so would this be the correct answer? answer choice A?

agent0smith · Answer

See above.

anonymous · Answer

okay thanks!! :D

agent0smith · Answer

Domain: valid x-values

Range: valid y-values

anonymous · Answer

ohh okay :) i think it's the first choice.. does that look right to you? :)

agent0smith · Answer

Actually they are ALL wrong. All list the range as x-values.

first option is the least wrong, if you changed x to y.

anonymous · Answer

ohhh okay haha so how would you correctly write the range?

agent0smith · Answer

2 =< y =< infinity

or

[2, inf)