Question 1131573: What is the range for the piece wise function of 2x+4 where x ≥ 1 and
-x^2 where -3 ≤ x < 1?
I found that the domain is [-3,1], and points on the graph are (-3,-9),(-2,-4),(0,0),(1,6), and (2,8). However, because one of the pieces is quadratic, the -x^2
part of the function curves downward at 1 with an open circle at (1,-1).
I am unsure whether the range should be [-9,-1)∪[6,∞) or [-9,0]∪[6,∞).
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! What is the range for the piece wise function of 2x+4 where x ≥ 1 and
-x^2 where -3 ≤ x < 1?
I found that the domain is [-3,1], and points on the graph are (-3,-9),(-2,-4),(0,0),(1,6), and (2,8). However, because one of the pieces is quadratic, the -x^2
part of the function curves downward at 1 with an open circle at (1,-1).
I am unsure whether the range should be [-9,-1)∪[6,∞) or [-9,0]∪[6,∞).
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Note:: y = -x^2 is a parabola opening downward from (0,0)
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Ans:: [-9,0]U[6,oo)
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Cheers,
Stan H.
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