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valentina_108 [34]
2 years ago
9

State the domain and range of the function: y = -(x+8)^2 +9

Mathematics
1 answer:
Tanya [424]2 years ago
7 0

Domain: All real numbers (-infinity, infinity)

Range: [9, -infinity)

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y < \dfrac{2}{3}x\\\\y=\dfrac{2}{3}x\\\\for\ x=0\to y=\dfrac{2}{3}(0)=0\to(0,\ 0)\\\\for\ x=3\to y=\dfrac{2}{3}(3)=2\to(3,\ 2)\\\\y\geq-x+2\\\\y=-x+2\\\\for\ x=0\to y=-0+2=2\to(0,\ 2)\\\\for\ x=2\to y=-2+2=0\to(2,\ 0)

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