What's the area of this shape?

Which approach to the theory-and-research cycle does the following sequence reflect: (1) specific observations suggest generalizations, (2) generalizations produce a tentative theory, (3) the theory is tested through the formation of hypotheses, and (4) hypotheses may provide suggestions for additional observations?

Identify one charcteristic of exponential growth

The function f(x)= -(x+5)(x+1) is down. what is the range of the function?