Use the graphs of f and g to graph h(x) = (f + g)(x). (Graph segments with closed endpoints).

Solution:

h (x) = (f + g) (x)

The function h(x) can be written as

h (x) = f (x) + g (x)

In order to graph h (x), we have to consider various x values

h (0) = f (0) + g (0) = 2 - 1 = 1

h (1) = f (1) + g (1) = 3 + 0 = 3

h (2) = f (2) + g (2) = 1 + 0.5 = 1.5

h (3) = f (3) + g (3) = 2 + 0 = 2

So the graph is mentioned below:

Use the graphs of f and g to graph h(x) = (f + g)(x). (Graph segments with closed endpoints).

Summary:

The graphs of f and g to graph h(x) = (f + g)(x) are graphed above.