To solve this problem, let's analyze each part based on the given graph description:

(a) The Intercepts

Intercepts are points where the graph crosses the x-axis (x-intercepts) or the y-axis (y-intercept).

1. X-Intercepts: These occur where the function crosses the x-axis (where $y = 0$). From the description:

   • The curve passes through the points $(-π, 0)$, $(0, 0)$, and $(π, 0)$.
   • Therefore, the x-intercepts are: $(-π, 0), (0, 0), \text{ and } (π, 0).$

2. Y-Intercept: This occurs where the graph crosses the y-axis (where $x = 0$).

   • The y-intercept is $(0, 0)$.

(b) Domain and Range

• Domain: The set of all possible x-values.

  • Since the graph is periodic and extends horizontally from $-π$ to $π$, the domain is: $[-π, π].$

• Range: The set of all possible y-values.

  • From the description, the graph reaches a minimum of $-9$ at $(- \frac{π}{2}, -9)$ and a maximum of $9$ at $(\frac{π}{2}, 9)$.
  • Therefore, the range is: $[-9, 9].$

(c) Intervals of Increasing, Decreasing, or Constant Behavior

1. Increasing Intervals:

   • The function is increasing from $(- \frac{π}{2}, -9)$ to $(\frac{π}{2}, 9)$.
   • So, the interval is: $\left(-\frac{π}{2}, \frac{π}{2}\right).$

2. Decreasing Intervals:

   • The function is decreasing from $(-π, 0)$ to $(- \frac{π}{2}, -9)$ and from $(\frac{π}{2}, 9)$ to $(π, 0)$.
   • So, the intervals are: $(-π, -\frac{π}{2}) \text{ and } (\frac{π}{2}, π).$

3. Constant Intervals:

   • There are no intervals where the function is constant.

(d) Symmetry: Even, Odd, or Neither

• A function is even if it is symmetric about the y-axis, i.e., $f(-x) = f(x)$.
• A function is odd if it is symmetric about the origin, i.e., $f(-x) = -f(x)$.

Given the points $(- \frac{π}{2}, -9)$ and $(\frac{π}{2}, 9)$, and the symmetry of the graph about the origin, the function satisfies $f(-x) = -f(x)$.

Therefore, the function is odd.

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Would you like more details, or do you have any questions? Here are some related questions to explore:

1. How can you identify the intercepts of a function graphically?
2. What is the significance of the domain and range of a function?
3. How can you determine if a function is increasing, decreasing, or constant?
4. What are the characteristics of even and odd functions?
5. How does periodicity affect the properties of a function?

Tip: For functions with symmetry, always check if they satisfy the conditions for being even or odd—it helps to simplify their analysis.