SOLUTION: A) Find the y intercepts B) Find the x intercepts and C) find the intervals of x where f(x) > 0 and those where f(x) <0. Do not sketch the graph. f(x) = (x-5) (x+4) (x-3)

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Question 1025457: A) Find the y intercepts B) Find the x intercepts and C) find the intervals of x where f(x) > 0 and those where f(x) <0. Do not sketch the graph.
f(x) = (x-5) (x+4) (x-3)

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
A) When ,

B)

and


and


C) Break up the number line into regions using the x-intercepts,
Region 1 : ( ,)
Region 2 : (,)
Region 3 : (,)
Region 4 : (,)
Pick a point in each region and test the function to see if its greater than or less than zero.
Region 1 :

Region 2 :

Region 3 :

Region 4 :

So then,
( ) ,
()
(),
(),

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