The graph displayed is a polynomial function $y = f(x)$. You are being asked to find the intervals where $y < 0$, which means where the graph is below the x-axis.

The x-axis crossings (roots) occur at:

• $x = -3.4$
• $x = -1.3$
• $x = 0.7$
• $x = 2.1$

Looking at the graph, $y < 0$ between:

1. From $x = -3.4$ to $x = -1.3$ (because the graph dips below the x-axis between these points).
2. From $x = 0.7$ to $x = 2.1$ (again, the graph is below the x-axis in this interval).

Thus, the correct intervals where $y < 0$ are:

• $-3.4 < x < -1.3$
• $0.7 < x < 2.1$

Let me know if you'd like more detailed explanations or have any further questions!

Here are five related questions to explore:

1. How do you find the roots of a polynomial graphically?
2. What is the significance of the turning points in the graph of a polynomial?
3. How do you determine intervals where a function is positive or negative?
4. How can you verify solutions of $f(x) = 0$ algebraically?
5. What does the degree of the polynomial tell you about the graph's shape?

Tip: The points where the graph crosses the x-axis (roots) are critical in determining where the function is positive or negative.