Let's analyze the graph provided to answer the questions:

1. Where the function is increasing or decreasing:
   • The function is increasing where the slope of the graph is positive, meaning the curve goes upwards.
   • The function is decreasing where the slope is negative, meaning the curve goes downwards.

Looking at the graph:

• The function increases in the intervals $x < -1$ and $x > 1$.
• The function decreases in the interval $-1 < x < 1$.

2. Where the function is greater than zero (above the x-axis):

   • The function is greater than zero when the graph is above the x-axis. This occurs in two intervals: $-2 < x < 0$ and $3 < x$.

3. Where the function is less than zero (below the x-axis):

   • The function is less than zero when the graph is below the x-axis. This happens in the interval $0 < x < 3$.

Answers:

a. The function is increasing when $x < -1$ and $x > 1$, decreasing when $-1 < x < 1$.

b. The function is greater than zero when $-2 < x < 0$ and $x > 3$.

c. The function is less than zero when $0 < x < 3$.

Would you like further details or clarifications?

Related Questions:

1. What does it mean when a function is increasing or decreasing?
2. How do you identify when a function is positive or negative from a graph?
3. Can a function be zero at multiple points? What does that indicate?
4. How do turning points relate to increasing and decreasing intervals?
5. How can you find the exact values of $x$ where the function is zero?

Tip: Turning points (where the slope changes from positive to negative or vice versa) often indicate maximum or minimum values of the function.