A gymnast at Ringling Bros. and Barnum & Bailey Circus is fired straight up in the air
Chapter 10, Problem 10.2.56(choose chapter or problem)
A gymnast at Ringling Bros. and Barnum & Bailey Circus is fired straight up in the air from a cannon. While she is in the air, a trampoline is moved into the spot where the cannon was. Figure 10.19 is a graph of the gymnast’s height, h, as a function of time, t.
(a) Approximately what is her maximum height?
(b) Approximately when does she land on the trampoline?
(c) Restrict the domain of h(t) so that h(t) has an inverse. That is, pick a piece of the graph on which h(t) does have an inverse. Graph this new restricted function.
(d) Change the story to go with your graph in part (c).
(e) Graph the inverse of the function in part (c). Explain in your story why it makes sense that the inverse is a function.
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