Can someone help me with this equation. I am not sure I did this correctly but I watched many videos to help me solve this problem and this is what I have so far.
Consider the graph of the piecewise function y = f (x)
since you cant see the graph i will give you the numbers that are dotted on the line...
-6,2
-3,4
0,4
2,0
3,1
when looking at this graph it goes from the left up then shoots across right on the 4 on the y axis back down to the 2 on the x axis and back up again to 3,1.
The questions are below and the ones I have figured out i will have the answer under them. I dont really know what questions f & g are asking of me.
(a) State the value of f (-2).
f(-2) = 4 so (-2,4) I got this because on the graph i went from -2 up until I touched the line which landed me at 4.
(b) State the x-intercept(s), if any.
(2,0) - i got this because it was the only dot on the x intercept
(c) State the y-intercept(s), if any.
(0,4)
(d) State the domain of the piecewise function.
[-6,3]
(e) State the range of the piecewise function.
[-2,4]
(f) State the interval(s) on which the function is increasing. That is, for what x-values is the function increasing?
(g) State the interval(s) on which the function is decreasing. That is, for what x-values is the function decreasing?