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6-101.

Copy the graphs of $y = f\left(x\right)$ and $y = g\left(x\right)$ on the same set of axes.

1. Use graphical addition to sketch the graph of $h\left(x\right) = f\left(x\right) + g \left(x\right)$.

Make possible tables for each graph.
Add the $y$-values to obtain $h\left(x\right)$.

2. Make a reasonable guess for the equations $f\left(x\right)$ and $g\left(x\right)$. Use this to test your graph of $h\left(x\right)$.

$f\left(x\right)$ looks like $y = x$.

$g(x)$ looks like $y= \frac{1}{x}$.

Use the eTool below to help you visualize this problem.
Click the link at right for the full version of the eTool: 6-101 HW eTool