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Let f: R to R be a differentiable functi...

Let `f: R to R` be a differentiable function given by `f(x) = x^(3) - 3x + 2020` If g(x) is a continuous function defined by
`g(x)={("Minimum"{f(t)","0 le t le x}",",0 le x le 1),("Mzximum"{f(t)","1 lt t le x}",",1lt x le 2):}`
and m and M be the least and the greatest value of g(x) on [0, 2] then which one of the following is correct?

A

`M-m=2`

B

`m=2020`

C

`M=2022`

D

`m=2019`

Text Solution

Verified by Experts

The correct Answer is:
C
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