Answer
a. increase,
b. neither,
c. decrease,
d. increase,
Work Step by Step
a. The volume of a sphere as a function of its radius is given as: $ V=\frac{4}{3}\pi r^3$. We can see that $V$ will increase with increasing $r$.
b. The greatest integer function is neither increasing nor decreasing because it is a step function.
c. The height above Earth’s sea level as a function of atmospheric pressure (assumed nonzero) decreases because atmospheric pressure decreases as the height above Earth’s sea level increases.
d. Kinetic energy as a function of a particle’s velocity
increases because of the equation $ E_K=\frac{1}{2}mv^2$
