Let $f(x) = \begin{cases} 2x^2 - 10x, & -\infty < x \leq -5 \\ x^2 - 5, & -5 < x < 3 \\ x^2 + 1, & 3 \leq x < \infty \end{cases}$ …

Problem

Let

f(x) = \begin{cases} 2x^2 - 10x, & -\infty < x \leq -5 \\ x^2 - 5, & -5 < x < 3 \\ x^2 + 1, & 3 \leq x < \infty \end{cases}

Number of negative integers in the range of the function

f(x)

is (a) 6 (b) 5 (c) 4 (d) 3