2 questions from 2023
Let \( n \ge 2 \) be a natural number and \( f:[0,1]\to \mathbb{R} \) be the function defined byIf \( n \) is such that the area of the region bounded by the curves \( x=0 \), \( x=1 \), \( y=0 \) and \( y=f(x) \) is \( 4 \), then the maximum value of the function \( f \) is _____.
Let \( S = (0,1) \cup (1,2) \cup (3,4) \) and \( T = \{0,1,2,3\} \). Then which of the following statement is(are) true?
