Let f: ℝ → ℝ be defined as
\(f(x) = \left\{ \begin{array}{ll} [e^x] & x < 0 \\ [a e^x + [x-1]] & 0 \leq x < 1 \\ [b + [\sin(\pi x)]] & 1 \leq x < 2 \\ [[e^{-x}] - c] & x \geq 2 \\ \end{array} \right.\)
Where a, b, c ∈ ℝ and [t] denotes greatest integer less than or equal to t.
Then, which of the following statements is true?
Store | Respective ratio of number of linen kurtis to cotton kurtis sold |
A | 7:5 |
B | 5:6 |
C | 3:2 |
D | 5:3 |
E | 4:3 |
F | 7:3 |