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[問題] absolute again!!!

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absolute again!!!

1) l x l^2 >/= 4

2) (x+2) l x-2 l < -5

3) Find all the real values of x and y:
    l 2x-1 l > y+1 and y= l x+3 l

Also I don't know how to sketch graphs /_\
for eg, how to sketch y = 0.5( x+ l x l )??
is there any key to sketching graphs??
   

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THE FIRST THREE QUESTIONS HAVE BEEN KOED^^

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Consider the value of |x| in different ranges.
|x|=x when x>=0 and |x|=-x when x<=0.
So
when x>=0:
y=0.5(2x)=x
when x<=0:
y=0.5(0)=0

Therefore the graph should be like
y=0 at left of the graph
y=x at right of the graph
where the middle of the graph is the origin.

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引用:
原帖由 elvisle 於 2012-5-5 05:15 PM 發表
1) l x l^2 >/= 4

2) (x+2) l x-2 l < -5

3) Find all the real values of x and y:
    l 2x-1 l > y+1 and y= l x+3 l

Also I don't know how to sketch graphs /_\
for eg, how to sketch y = 0.5( ...
Find the range that the function inside absolute value is +ve and -ve.
Then, simplify the function is each range.

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