Math Problem Statement

Identify the zeros of the rational function

Solution

The zeros of a rational function are the x-values where the function equals zero, i.e., the points where the graph intersects the x-axis. From the given graph, we can identify the zeros by observing where the green curve crosses the x-axis.

The points where the graph intersects the x-axis are marked as:

  • B=(2,0)B = (2, 0)
  • C=(3,0)C = (3, 0)
  • D=(4,0)D = (4, 0)

Therefore, the zeros of the rational function are: x=2,3,and4x = 2, \, 3, \, \text{and} \, 4

Would you like more details or have any questions?

Here are some related questions you might want to ask:

  1. How do you find the vertical asymptotes of a rational function?
  2. How do you determine the horizontal asymptotes of a rational function?
  3. What is the general form of a rational function?
  4. How do you find the y-intercept of a rational function?
  5. How can you determine if a rational function has any holes?

Tip: When analyzing a rational function, always look for the x-intercepts, vertical asymptotes, and horizontal asymptotes to understand the behavior of the function better.

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Math Problem Analysis

Mathematical Concepts

Rational Functions
Zeros of Functions
Graphical Analysis

Formulas

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Theorems

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Suitable Grade Level

Grades 10-12