Math Problem Statement

. 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.

Solution

The graph of the function y=3xy = 3 - x crosses the X-axis at x=3x = 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=3xy = 3 - x and how does it affect the graph?
  2. How would the graph change if the function were y=32xy = 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=3xx3y = 3^x - x^3?
  5. How would the crossing point shift if the function were y=5xy = 5 - x?

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

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Math Problem Analysis

Mathematical Concepts

Linear Functions
X-axis Intersection

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9