Question

x f(x) g(x)
-2 -1 -1
-1 3/4 0
0 1 1
1 1 and 1/4 2
2 3 3

Compare the functions f(x) and g(x). When is f(x) greater than g(x)?

___ < x < ____

Answer 1

-2 < x < 0

Reason: f(-2)=g(-2) and f(0)=g(0), but f(-1)=3/4 > 0 = g(-1). Assuming the values vary linearly between table points, f(x)>g(x) for all x between -2 and 0.