https://file.aiquickdraw.com/mathbot/file/1728354520730wtdz4gc6.jpg

From the graph provided, we are tasked with finding the \( x \)-values where \( f(x) = 0 \). These points are the **x-intercepts**, where the curve crosses the x-axis. 

Based on the graph:

- The curve crosses the x-axis at **three points**.
  1. Approximately at \( x = -7 \)
  2. Approximately at \( x = 0 \)
  3. Approximately at \( x = 6 \)

Thus, when \( f(x) = 0 \), the approximate values of \( x \) are:
\[
x \approx -7, 0, 6
\]

Would you like further details or have any questions?

Here are 5 related questions you might consider:
1. What are the **maximum** and **minimum** points on the graph?
2. How can you determine the **intervals of increase** and **decrease** from the graph?
3. What is the **range** of the function shown in the graph?
4. How do we find the points of **inflection** from this graph?
5. How can we estimate the **derivative** at specific points along the curve?

**Tip:** The x-intercepts are the points where a function changes sign, often providing valuable insight into the behavior of the function in different regions.

Determine the x-values where f(x)=0 by analyzing the graph. This involves understanding the concept of x-intercepts and applying the Zero Theorem to find the points where the curve crosses the x-axis. Suitable for students in Grades 9-12.

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