The position of a moving particle is shown below in the graph $f\left(t\right)$.

At what times velocity is zero?

A hiker starts climbing a hill from an elevation of $200~\text{feet}$ above sea level. After $20~\text{minutes}$, the hiker reaches an elevation of $800~\text{feet}$ above sea level. Let $h\left(t\right)$ represent the elevation (in feet) above sea level of the hiker $t$ minutes after starting the climb. Evaluate $\frac{h\left(20\right)-h\left(0\right)}{20-0}$ and select the correct interpretation of this quotient.

Find the piecewise formula of the graph below.

A child throws a ball in the air from the ground at a speed of 36 m/s. The height of the ball at any time "t" is given by $h(t)=36t-4t^2$ . What is the domain of the function?

For the given function below, is it symmetric about the $y$-axis, the origin, both, or neither?

$y=\frac{x^4}{7}$

A city plans to construct a triangular park in the shape of an equilateral triangle with each side equal to $s$ meters. If landscaping costs $\$8\text{/m}$ for the sides and $\$15\text{/m}$ for a special flower bed along one side, write the total cost $T$ of landscaping as a function of $s$.

A telecommunications company needs to install a fiber optic cable from a central office to a new development $3$ miles away on the opposite side of a lake. The lake is $1200$ ft wide. The cost of laying the cable under the lake is $$250$ per foot and $$150$ per foot along the road. Determine the least expensive point for the cable to reach the development if it is less than or greater than $3000$ ft from the starting point along the road.