I see you've uploaded an image with mathematical exercises. I'll transcribe and analyze the problem to help solve it. One moment as I review the content.From the uploaded image, here is the breakdown of the tasks and explanations required:

Key Observations:

1. The main exercise involves analyzing a function $f(x)$, likely given as $f(x) = 3 - 2 - 2 + 1 - x$ in some of the tasks.
2. Tasks involve:
   • Graphically determining properties of the function $f(x)$, including its domain, range, and intervals of increase or decrease.
   • Calculating expressions related to $f(x)$, e.g., \text{verify that for each \( x, something holds.})
   • Verifying symmetry of the function and its graph.
   • Exploring changes in the function's behavior (e.g., using derivatives).

Specific Questions to Solve:

1. Graph Analysis:

   • Determine the domain and range of $f(x)$.
   • Identify the intervals where the function increases or decreases based on the graph.

2. Expression Simplification:
   Simplify the given function $f(x) = 3 - 2 - 2 + 1 - x$, and determine the constants $a$ and $b$.

3. Verification Task:
   Verify the statement 15 - (1) = \text{Calculate \( x in terms of...}) and conclude the direction of change of the function based on $x$.

4. Symmetry and Axis of the Graph:
   Verify if the line $x = 1$ is the axis of symmetry for the graph.

5. Change Analysis:
   Calculate changes in the function and study the behavior of ( f(x) \