Can you create a graph given that the domain in [-10,10] and the average rate of change is constant from the interval (-2,3) and is increasing over the interval (-2,3) and the absolute max is f(3)=2 and the absoulte minimum is f(2)=-3

Here is the graph based on the given conditions:

- The function is linear and increasing over the interval \((-2, 3)\).
- The absolute minimum occurs at \( f(2) = -3 \), and the function increases from there.
- The absolute maximum occurs at \( f(3) = 2 \), and the function becomes flat beyond that point.

Would you like further details or have any questions?

### Related Questions:
1. How is the average rate of change related to linearity on an interval?
2. What does it mean for a function to have an absolute maximum and minimum?
3. How do we determine intervals of increase and decrease from a graph?
4. How would the graph change if the maximum occurred at a different point?
5. How can you calculate the exact slope of the function on the interval \((-2, 3)\)?

### Tip:
When interpreting absolute maximum and minimum points, remember these values represent the highest and lowest outputs of a function over its entire domain.

Can you create a graph given that the domain in [-10,10] and the average rate of change is constant from the interval (-2,3) and is increasing over the interval (-2,3) and the absolute max is f(3)=2 and the absolute minimum is f(2)=-3?

Explore how to graph a function with a constant average rate of change over the interval (-2, 3) with an absolute maximum of f(3)=2 and an absolute minimum of f(2)=-3. This problem integrates concepts from calculus and algebra, focusing on the average rate of change and absolute extrema.

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