Graphing Combined Functions?

[TheKeyboardist]

The question says:

Use the graphs of f(x) and g(x) to draw the graph of (f+g)(x)

There are 3 graphs, one for f(x), one for g(x) and one for (f+g)(x) but the last one ((f+g)(x)) is blank. Im supposed to draw the third graph by looking at the first two. How would you go about doing that? Ive looked absolutely everwhere, i cant find an answer. Thanks for any help at all.

 

[Euler]

(f+g)(x) is really f(x)+g(x).

Let's try some numbers, so that you can get an idea.

f(x)=2+x
g(x)=5-x

This would mean (f+g)(x) would be (2+x)+(5-x) or 7.

So (f+g)(x) = 7.

If you need to draw the graph just by looking, look at where the graph intercepts the y-axis on both graphs and add them up. In regards to slope, sum it up as well.

If you want more information on functions, try this page

 

[TheKeyboardist]

Where do you get the 2 and the 5 from? And why would x be negative in the second problem? And the answer is 7? Where would you plot that? (7,0) or (0,7)?

And how would you find the slope? On the first question, the figure is a line while in the second one, its a v.

Take no offense, im really grateful for your help, i just dont understand some parts of it.