MathNet 2021 — Part 09 Question 74

Question 74

The graph of $f(x) = |\lfloor x \rfloor| - |\lfloor 1-x \rfloor|$ is symmetric about which of the following? (Here $\lfloor x \rfloor$ is the greatest integer not exceeding $x$.)

the $y$-axis
the line $x = 1$
the origin
the point $(\frac{1}{2}, 0)$
the point $(1, 0)$