Question

Use graphical addition to sketch the graph of f + g

Short answer

The graph of the function f + g can be obtained from the graphs of f and g by graphical addition. This means that we add corresponding y-coordinates.

Step-by-step solution

Step-1 – Use the concept graphical addition 

The graph of the function f + g can be obtained from the graphs of f and g by graphical addition. This means that we add corresponding y-coordinates.

Step-2 – Analyze the given data

Given

We first make a table of values.

x	$f\left(x\right)$	$g\left(x\right)$	$\left(f+g\right)\left(x\right)$
-2	-1	1	0
0	-1	2	1
2	0	3	3
3	1	2	3

Step-3 – Graph

Plot the points given by the table and join them by a smooth curve to obtain the graph.

x	$\left(f+g\right)\left(x\right)$
-2	0
0	1
2	3
3	3

Join the points to make a rough graph: