QuestionGraph the distance from home after $x$ hours for a trip to a park 20 miles away at $40 \mathrm{mph}$, 2 hours at the park, then return at $20 \mathrm{mph}$.

Studdy Solution
The graph is a piecewise function, defined as follows$$Distance(x) =\begin{cases}40x & \text{if } \leq x <.5 \\ 20 & \text{if }.5 \leq x <2.5 \\ 40 -20(x -2.5) & \text{if }2.5 \leq x \leq3.5\end{cases}$$