Originally Posted by
The Chaz 1. It's a piecewise-defined function, and there's no way I'm drawing this for you! Maybe someone else will... but I would recommend that you learn how to graph piecewise functions. Basically, for all the different ways that f is defined
(in this case,
0,
x + 1, and
1 - x)
2. Draw the lines
y = 0
y = x + 1 and
y = 1 - x on the same set of coordinate axis. In pencil.
3. Use a colored pencil (or heavier hand) to emphasize the line y = 0 for the part of this line where x < -1 (as defined in your example).
Use a colored pencil (or heavier hand) to emphasize the line y = x + 1 for the part of this line where -1 < x < 0 (as defined in your example).
I changed it to "0", because otherwise your function is not well-defined.
Use a colored pencil (or heavier hand) to emphasize the line y = 1 - x for the part of this line where 0 < x < 1 (as defined in your example).
Use a colored pencil (or heavier hand) to emphasize the line y = 0 for the part of this line where x > 1 (as defined in your example.
Also, you'll have to determine how to define f(-1), f(0), and f(1) by looking for ≤ or ≥ in your original problem. Another guess of mine is that you omitted these.
Now, erase everything that you didn't highlight in step 3.
viola.
The second part is asking for transformations of this graph. This next sentence will tell you everything you need to know.
The graph of f(x - h) is the graph of f(x), shifted right "h" units.