Question

Compare the functions f(x) and g(x). When is g(x) greater than f(x)?
Table: x: -2, -1, 0, 1, 2
f(x): -1, 3/4, 1, 1 1/4, 3
g(x): 3, 3/4, 0, 3/4, 3

Answer 1

The functions f(x) and g(x) are as follows:

f(x): -1, 3/4, 1, 1 1/4, 3
g(x): 3, 3/4, 0, 3/4, 3

From the table, we can see that g(x) is greater than f(x) when x = -2, 1, and 2. This is because:

At x = -2: f(-2) = -1 and g(-2) = 3, where g(x) > f(x)
At x = 1: f(1) = 1 1/4 and g(1) = 3/4, where g(x) > f(x)
At x = 2: f(2) = 3 and g(2) = 3, where g(x) > f(x)

Therefore, g(x) is greater than f(x) at x = -2, 1, and 2.