Davina D.

asked • 02/05/16

Can someone check my work and also help

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?
 
 

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