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Q32Section B (Section B)32 of 60

Mean value conclusions from four function values

Let f:R→Rf:\mathbb{R}\to\mathbb{R} be a twice differentiable function such that f(0)=0f(0)=0, f(2)=4f(2)=4, f(4)=4f(4)=4 and f(8)=12f(8)=12. Then which of the following statements is/are correct?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Options

Select every correct option, then submit.