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If f(x)=" min "(4x+3, x+4)" for "x in [0...

If `f(x)=" min "(4x+3, x+4)" for "x in [0, 2]`, what is the maximum value of `f(x)`?

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f(x)=min(4x+3,x+4) is an increasing function for every `xin[0,2]`
It means the value of f(x) increases as x increases at x=2, f(x) will be maximum
`f(x)_max=min(11,6)` at x=2
6
Hence, the maximum value of the function is 6.
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