Interpreting/Sketching Key Features of Functions Practice Test

A city models the height of tide (in meters) by $T(t)=2\cos\left(\frac{\pi}{6}t\right)+5$, where $t$ is time in hours. What is the period of $T$?

A toy car’s position relative to a starting line is modeled by $s(x)=x^4-3x^2$, where $x$ is time in seconds. Does $s(x)$ have symmetry? What type?