Using the features, a piece-wise function is defined, and the graph is sketched at the end of this answer.
A piece-wise function is a function that has multiple definitions, depending on the value of the input.
He starts at 0 feet, and reaches a maximum elevation of 800 feet in 30 minutes, with a steady(linear) increase thus, for the first 30 minutes, the definition is:
[tex]h(t) = \frac{800}{30}t, 0 \leq t < 30[/tex]
For the next 5 minutes, he stops to rest, at the maximum elevation of 800 feet, thus, the definition is:
[tex]h(t) = 800, 30 \leq t < 35[/tex]
For the final 20 minutes, he descends 800 meters, at a linear rate, thus:
[tex]h(t) = 800 -\frac{800(t-35)}{20} = 800 - 40(t - 35), 35 \leq t \leq 55[/tex]
Using these definitions, the graph is sketched at the end of this answer.
A similar problem is given at https://brainly.com/question/13205719
