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Question

The range of f(x)=x2+7x+60 in x[3,2] is

A
[70,2894]
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B
[30,2894]
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C
[30,70]
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D
[30,2894)
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Solution

The correct option is C [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]

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