A function $f: \mathbb{R} \to \mathbb{R}$ defined by $f(x) = \begin{cases} 2x+3, & x \le 4/3 \\ -3x^2+8x, & x>4/3 \end{cases}$ is
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To check if a function is onto, always compare its range with the codomain. If even a single value in the codomain is not achieved, the function is not surjective.