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)
?

Answer 1

Compare the values from the table:

- x = -2: f = -1, g = -1 → f = g
- x = -1: f = 3/4, g = 0 → f > g
- x = 0: f = 1, g = 1 → f = g
- x = 1: f = 1.25, g = 2 → f < g
- x = 2: f = 3, g = 3 → f = g

So f(x) is greater than g(x) only at x = -1.