Question 1

Figure from the original question paper Piecewise function definition with its graph (Figure M2ES1) Choose the set of correct options about estimating the area of the region bounded by the graph of function *f*, above the interval \[**0,10**\] using Riemann sums. Piecewise function definition with its graph (Figure M2ES1) Match the properties of the function mentioned in Column A with the appropriate numerical values given in Column B: | | Properties | | Numerical values | |---|---|---|---| | a) | Number of critical points in $(-2, 10)$ | 1) | 3 | | b) | In $[-2, 10]$, the global maximum is attained at | 2) | 2 | | c) | In $[-2, 10]$, the global minimum is attained at | 3) | 0 | | d) | Number of points where $f$ is not differentiable in $(-2, 10)$ | 4) | -2 | Table: M2ES1