Without graphing, tell which statements are true for the graph of the function y = x2 + 2.

I. All points on the graph are above the origin.

II. All points on the graph have positive x-values.

III. All points on the graph have positive y-values.

Statements (... and ...) are true. Statement (...) is true because x^2 is non-negative for all values of x, so the minimum value of x^2 is 0. Thus, the minimum y−value for the function is (...) and the lowest point on the graph is (0, ...), which is above the origin. Statement (...) is true because the lowest point on the graph is (0, ...) so all other points have a y−value that is greater than (...) and must be positive.