Question 405467: Hi!
I´ve been struggling on this function for 3 days!
f(x)=|-2x-2|-|2x-1|
How can i find:
Max or min
y intercept (0,1)
x intercept
Hybrid forms
Range
Increase
Decrease
Thanks,
Chan
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! f(x)=|-2x-2|-|2x-1|
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Find the zeroes:
x = -1 and x = 1/2
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Draw a coordinate system and plot
x = -1 and x = 1/2 on the x-axis
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Plot the equation lines for the
three resulting intervals of x-values.
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f(x)=|-2x-2|-|2x-1|
If x < -1, -2x-2 is positive and 2x-1 is negative
so y = -2x-2-(-2x+1) = -3.
Graph that over the interval (-inf,-1)
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If -1 < x < 1/2, -2x-2 is negative and 2x-1 is negative
so y = 2x+2-(-2x+1) = 4x+1
Graph that over the interval (-1,1/2)
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If x > 1/2, -2x-2 is negative and 2x-1 is positive
so y = 2x+2-(2x-1) = 3
Graph that over the interval (1/2,+inf)
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Cheers,
Stan H.
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How can i find:
Max or min
y intercept (0,1)
x intercept
Hybrid forms
Range
Increase
Decrease
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