SOLUTION: Find the Domain and range of the following functions. Note: this is a piecewise function. f(x)= {x+9, x<-3}, {-2x, abs(x)<=3}, {-6, x>3} Thanks heaps!

Question 637561: Find the Domain and range of the following functions. Note: this is a piecewise function.
f(x)= {x+9, x<-3}, {-2x, abs(x)<=3}, {-6, x>3}
Thanks heaps!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the Domain and range of the following functions. Note: this is a piecewise function.
f(x)= {x+9, x<-3}, {-2x, abs(x)<=3}, {-6, x>3}
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Domain: All Real Numbers because (-oo,-3)U[-3,3]U(3,+oo) is (-oo,+oo)
Range
When x < -3,y is (-oo,6)
When |x|<=3, y is [-6,6]
When x > 3, y is [-6]
--
So Range is (-oo,6] or "All Real Numbers less than or equal to 6.
===============================
Cheers,
Stan H.
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