Question

give the domain and range of this function
f(x)=x^2+3
i need solution

Answer 1

do you know what a domain and range is? let's begin from those definitions

Answer 2

domain is x range is y

Answer 3

this is how I remember it,
domain (a range of values that the x-values have to lie between)
range (a range of values that the y-values have to lie between)

Answer 4

yes, u are right.

Answer 5

now can you imagine the graph of x^2 + 3?
can you identify any dilation, reflection or translation?

Answer 6

no ;)

Answer 7

it's simple to just give your answer, but the idea is for you to learn. so now think -> which values can this expression be - x^2+3 for example can it be less than 0?
can you imagine the parabola?

Answer 8

think carefully.

Answer 9

what can the x-values be (this will be your domain)
what can the y-values be (this will be your range)

Answer 10

so think is there a value which will make the function undefined( hint: example you can't take a square root of negative numbers or divide by zero). so do you see a reason why for certain x your functions is undefined?

Answer 11

i know the answer but idk how my prof came up with this answer\[x=\sqrt{3}=[3,\infty)\]

Answer 12

That is a weird answer.

Answer 13

hold on.lemme check the answer again

Answer 14

well x can be any value, because x^2 is defined for any real number

Answer 15

thats the answer