The problem requires us to analyze a given graph of a function and determine the following: - The interval(s) where the function is increasing. - The interval(s) where the function is decreasing. - The domain of the function. - The range of the function.

1. Problem Description

The problem requires us to analyze a given graph of a function and determine the following:

- The interval(s) where the function is increasing.

- The interval(s) where the function is decreasing.

- The domain of the function.

- The range of the function.

2. Solution Steps

First, let's analyze the graph to determine the increasing and decreasing intervals.

- The function is increasing from its leftmost point up to the point (5, 7). The leftmost point of the graph appears to be at x=-

1. - The function is decreasing from the point (5, 7) to its rightmost point. The rightmost point of the graph appears to be at x=

1

0.

Next, let's determine the domain and range of the function.

- The domain of a function is the set of all possible input values (x-values) for which the function is defined. From the graph, the function is defined from $x=-1$ to $x=10$.

- The range of a function is the set of all possible output values (y-values) that the function can take. From the graph, the minimum y-value appears to be $y=1$ and the maximum y-value is $y=7$.

Therefore, we can write the intervals, domain, and range as follows:

- Increasing: $[-1, 5]$

- Decreasing: $[5, 10]$

- Domain: $[-1, 10]$

- Range: $[1, 7]$

3. Final Answer

The function is increasing on the interval(s): [-1, 5]

The function is decreasing on the interval(s): [5, 10]

The domain of the function is: [-1, 10]

The range of the function is: [1, 7]