The graph of the piecewise function f(x) is shown. What is the range of f(x)?
6
5
O {x1-2 sx<4)
O {x1-2 Oy1-5 O {1-5 sys-1)
3+
2+
1
-7 -6 -5 -4 -3
-
1
3
4
5
8

The range is virtually the answer to the question,

"In which interval can find all y-values of the function".

So you look at the y-axis and see that your function begins with (including -5 because of the dot on the graph) and ends at including .

So the interval notation is,

But you are asked to specify the set notation of the interval, to do so first rewrite the interval using inequality operators, say we find some y in between (and including) -5 and -1,

To specify that this is a set use curly bracelets and a bar,

.

The y before bar is a step function and everything followed after the vertical bar is the range of the step function.

Hope this helps.

answer: -8.2562234e+13