WISE

1
These are functions that are defined differently
on different parts of the domain.
WISE
FUNCTIONS
2
This means for xs less than 0, put them in f(x)
-x but for xs greater than or equal to 0, put
them in f(x) x2
What does the graph of f(x) -x look like?
What does the graph of f(x) x2 look like?
Remember y f(x) so lets graph y - x which is
a line of slope 1 and y-intercept 0.
Remember y f(x) so lets graph y x2 which is a
square function (parabola)
Since we are only supposed to graph this for xlt
0, well stop the graph at x 0.
Since we are only supposed to graph this for x ?
0, well only keep the right half of the graph.
This then is the graph for the piecewise function
given above.
3
For x 0 the function value is supposed to be 3
so plot the point (0, -3)
For x gt 0 the function is supposed to be along
the line y - 5x.
For x values between 3 and 0 graph the line y
2x 5.
Since you know the graph is a piece of a line,
you can just plug in each end value to get the
endpoints. f(-3) -1 and f(0) 5
Since you know this graph is a piece of a line,
you can just plug in 0 to see where to start the
line and then count a 5 slope.
open dot since not "or equal to"
So this the graph of the piecewise function
solid dot for "or equal to"
4
For the following function
a) Find f(-1), f(1), f(3).
b) Find the domain.
c)Sketch the graph.
5
c)