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B
[30,2894]
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C
[70,2894]
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D
[30,2894)
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Solution
The correct option is A[30,70] f(x)=−x2+7x+60
For given function a<0,b>0 and c=60 ∴ vertex of y=f(x) will be in 1st quadrant, so the graph will be x coordinate of the vertex is −b2a=72∉[−3,2] ∵ Vertex is in right of the given interval. ∴ Range for given condition is [f(−3),f(2)]≡[30,70]