Question

where does the function intersect the x-axis ?

f(x)=x^2+7

Answer 1

This function has no real roots, thus it DOESN'T intersect the x axis.

Answer 2

how do you know it doesnt have any real roots ?

Answer 3

Because if you solve for x in that equation you get \[\sqrt{-7}\] which is not a real number.

Answer 4

yeah, that's where i got stuck but i couldn't figure it out. thanks a lot!(not in a sarcastic way) (:

Answer 5

You can even look at it graphically. If you shift the graph of \[x^{2}\] 7 units upward you see that no part of that graph touches the x axis.

Answer 6

right, right. i understand. thanks for your help, i really appreciate it(:

Answer 7

That's good buddy!