if y=x^1/2+2 fill in the following table for x = 0, 1, 2, 3, 4.?

Question

Explain why no negative values are chosen as values to substitute in for x.

Answer 1

No negative values are chosen because you can't take a square root (x^1/2 = sqrt(x)) of a negative number.

x -> y
=======
0 -> sqrt(0) + 2 = 0 + 2 = 2
1 -> sqrt(1) + 2 = 1 + 2 = 3
2 -> sqrt(2) + 2
3 -> sqrt(3) + 2
4 -> sqrt(4) + 2 = 2 + 2 = 4

sqrt(2) + 2 and sqrt(3) + 2 can't be simplified further.

Answer 2

x^1/2 is the same as (sqrt)x

so thats why there are no negative numbers (negatives only have imaginary square roots)

x | y
0 | 2
1 | 3
2 | 3.414
3 | 3.732
4 | 4