. Plot the function y = 3 − x in the range [0, 4] in steps of 0.2. Find the places where the

graph crosses X-axis.

The graph of the function \( y = 3 - x \) crosses the X-axis at \( x = 3 \). 

Would you like further analysis on this or any additional related calculations?

Here are some related questions:

1. What is the slope of the function \( y = 3 - x \) and how does it affect the graph?
2. How would the graph change if the function were \( y = 3 - 2x \)?
3. What are the implications of the X-axis crossing on the function's behavior?
4. How does this linear function compare to the previously analyzed function \( y = 3^x - x^3 \)?
5. How would the crossing point shift if the function were \( y = 5 - x \)?

**Tip:** For linear functions, the X-axis crossing point is where \( y = 0 \). This is easily found by setting the equation equal to zero and solving for \( x \).

Explore the graph of the linear function y = 3 - x and analyze where it crosses the X-axis. Understand the implications of this intersection point on the function's behavior. Suitable for students in Grades 7-9 studying linear functions and graph analysis.

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