Riley is swinging on a swing at the playground. Let trepresent time, in seconds, and let $(t) represent Riley's horizontal distance, in inches, from her starting position, as shown in the table.
t
0 0.75
1.5
2.25 3
3.75
4.5
5.25
6 6.75
f(t) 0 38.9
55
38.90 -28.9
-55
-38.90 38.9
Note: When Riley swings in front of the starting position, f(t) is positive, and when Riley swings behind the starting position, f(t) is negative.
From the table, Riley is moving forward on the interval (0,
It takes Riley seconds to swing forward, back, and then return to her starting position.
Riley reaches a maximum distance of
inches from her starting position