Question

Ann's ride , a piecewise function


Ann went on a 10 hour bicycle trip. The table shows selected points on the graph.

t-0-1-4-7-10

d (t)- 0-3-5-5-10.

Write a function d(t) for her total distance traveled in miles in terms of the time in hours. Please help!

Answer 1

Well, it will surely be a piecewise function, so

d(t) =
3t for 0<=t<=1
3+2(t-1)/3 for 1<t<=4
5 for 4<t<=7
5+5(t-7)/3

Just look at the slope of each piece, and add the offset where it starts.