To identify the interval on which the function is both increasing and linear, we must analyze the graph:

1. Definition of Linear: A function is linear when it is represented by a straight line, i.e., the slope is constant.
2. Definition of Increasing: A function is increasing when the y-values are growing as x-values increase.

Analysis of the Graph

From visual inspection:

• The function appears to be increasing and linear between x = 2 and x = 5, as the graph forms a straight line with a positive slope within this interval.

Answer

The function is increasing and linear on the interval (2, 5).

Would you like further explanation or details on this problem?

Related Questions

1. How can we distinguish between linear and nonlinear sections of a graph?
2. How do we determine whether a function is decreasing on an interval?
3. What are other ways to describe increasing and decreasing functions mathematically?
4. How do we calculate the slope of a linear segment from a graph?
5. Can a function be linear but neither increasing nor decreasing? If so, provide an example.

Tip: Always check the graph for both straightness and slope direction when determining where a function is linear and increasing