Math Problem Statement
Solution
The problem asks for the vertical asymptote of the given graph.
Vertical asymptotes occur where the graph approaches infinity or negative infinity as approaches a particular value. In the image, the graph appears to approach infinity and negative infinity near the y-axis (the vertical line where ), which is shown as a dashed red line.
Therefore, the vertical asymptote is , which corresponds to option B.
Would you like further details or explanations?
Here are 5 related questions:
- What is the difference between vertical and horizontal asymptotes?
- How do you find the vertical asymptote for a rational function?
- Can a graph have more than one vertical asymptote?
- What does a vertical asymptote represent in real-world applications?
- 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