Q.

The image of the interval [1, 3] under the mapping f:R→R, given by fx=2x3−24x+107 is

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a

[0, 89]

b

[75, 89]

c

[0, 75]

d

[70, 80]

answer is B.

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Detailed Solution

Since the given function has minimum value 75 which is attained at x = 2 and maximum value is 89 which is attained at (x = 3) Hence the range of f is [75, 89]
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