Math Problem Statement
Solution
The graph shows two vertical asymptotes at and . These are the points where the function approaches infinity, as the curve gets closer to these vertical lines without crossing them.
So, the -values for the vertical asymptotes are:
Would you like more details about vertical asymptotes or related concepts?
Here are 5 related questions:
- What causes vertical asymptotes in a function?
- How can you determine vertical asymptotes algebraically?
- What is the difference between vertical and horizontal asymptotes?
- Can a function have more than two vertical asymptotes?
- How do vertical asymptotes affect the domain of a function?
Tip: A vertical asymptote occurs when the denominator of a function approaches zero, making the function undefined at that point.
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Math Problem Analysis
Mathematical Concepts
Asymptotes
Graphing Functions
Rational Functions
Formulas
Vertical Asymptote occurs where the denominator equals zero (for rational functions)
Theorems
The asymptote theorem: Vertical asymptotes occur where a function is undefined, usually where the denominator of a rational function approaches zero.
Suitable Grade Level
Grades 9-12