- Homework Statement:
Sketch a possible graph for the function that satisfies all of the following criteria and justify
your sketch by clearly labelling each of the given information.
□ Average rate of change = 5 for t belongs to [1, 5]
□ Average rate of change = -20 for t belongs to [1,10]
□ Average rate of change = 0 for t belongs to [2 , 9]
□ Instantaneous rate of change = -10 at t = 2
□ Instantaneous rate of change = 0 at t =3
- Relevant Equations:
- above please
So I attempted this problem and to satisfy the first condition (for t in the range of [1, 5]), I drew the straight line that has a slope of 5 (i.e. f(x)=5x). I just don't understand how I can have the same function with a different slope (average rate of change) for the interval [1,10] or for [2 , 9]... Any help please!