Answer
The answers are given in the same order as they appear in the exercise.
1. The function $f$...
2. The function $g$...
3. ...between $x=0$ and $x=1.5$.
Work Step by Step
1. Since both functions started at the same point, but function $f$ reached a higher $y$ value at $x=1$ than $g$, function $f$ has a greater average rate than $g$.
2. Since function $g$ started at a lower $y$ value than function $f$ at $x=1$ and function $g$ reached a higher $y$ value than $f$ at $x=2$, function $g$ has a greater average rate than $f$.
3. Since both functions started at the origin and reached the same $y$ value at $x=1.5$, they have the same average rate of change between $x=0$ and $x=1.5$