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Question

Find the range of f(x)=9x2, range is [a,b], then b-a= ?

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Solution

For real values of x
9x20
x29
|x|3
3x3
Hence,
xϵ[3,3]
Thus range of f(x) is ymax=3 while ymin=0
Hence range is [0,3]
Therefore, b=3 and a=0
Hence, ba=30 =3.

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