Question 1023646: Sketch the graph of the function:
y=(x-2)(x-3(x+5)
1- Determine the end behavior of the function.
2- Find all x-intercepts:
-2
-1
0
1
2
3- Find all y-intercepts.
60
48
30
12
0
4- Use the x-intercepts to divide the x axis into intervals
5- Choose at least one point within each interval to show whether the function is positive or negative.
6- Sketch the graph.
I have the partial answer but I am having difficulty with the rest. Help would be greatly appreciated.
Answer by Fombitz(32388)   (Show Source):
You can put this solution on YOUR website! As x gets large (positive), all three factors stay positive so the function goes to 
As x gets large (negative), all three factors stay negative so the function goes to  .
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When  , 
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1.(, )
2.(, )
3.(, )
4.(,)
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1.(,)
Negative
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.
2.(,)
Positive
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.
3.(,)
Negative
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.
4.(,)
Positive
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.
 .
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