Math Problem Statement

Which of the following is the vertical asymptote for the graph below?

Solution

The problem asks for the vertical asymptote of the given graph.

Vertical asymptotes occur where the graph approaches infinity or negative infinity as xx approaches a particular value. In the image, the graph appears to approach infinity and negative infinity near the y-axis (the vertical line where x=0x = 0), which is shown as a dashed red line.

Therefore, the vertical asymptote is x=0x = 0, which corresponds to option B.

Would you like further details or explanations?

Here are 5 related questions:

  1. What is the difference between vertical and horizontal asymptotes?
  2. How do you find the vertical asymptote for a rational function?
  3. Can a graph have more than one vertical asymptote?
  4. What does a vertical asymptote represent in real-world applications?
  5. How do vertical asymptotes affect the domain of a function?

Tip: Vertical asymptotes often occur where the denominator of a rational function is zero and the function is undefined.

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Math Problem Analysis

Mathematical Concepts

Algebra
Graphing Rational Functions
Asymptotes

Formulas

Vertical asymptote occurs when the denominator of a rational function equals zero.

Theorems

Vertical Asymptote Theorem for Rational Functions

Suitable Grade Level

Grades 9-12