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The function f(x)=(x^3)/8-s inpix+4in[-4...

The function `f(x)=(x^3)/8-s inpix+4in[-4,4]` does not take the value `-4` b. `10` c. `18` d. `12`

A

`-4`

B

10

C

18

D

12

Text Solution

Verified by Experts

The correct Answer is:
C
`f(x)=(x^(3))/(8)-sinpix+4`
`f(-4)=-4,f(4)=12`
`rArr f(x)` can take value 10 as f(x) is continuous function
`(x^(3))/(8)+4lt 12 and |sin pix|le 1 AA x in [-4,4]`
`therefore `f(x) cannot take the value 18
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