Math Problem Statement
Lukislah grafik y=-3/x
Solution
Here is the graph of the function . The curve consists of two separate branches, one in the second quadrant (where both and are negative) and one in the fourth quadrant (where is positive and is negative). The function has a vertical asymptote at and a horizontal asymptote at .
Would you like more details or have any questions about this graph?
Here are five related questions you might consider:
- What happens to the graph as approaches 0 from either side?
- How would the graph change if the equation was instead?
- What is the domain and range of this function?
- How would you describe the behavior of the function as approaches infinity?
- What are the asymptotes of this function, and why do they occur?
Tip: For rational functions like , understanding the asymptotic behavior is key to graphing them effectively.
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Math Problem Analysis
Mathematical Concepts
Algebra
Rational Functions
Graphing Asymptotes
Formulas
y = -3/x
Theorems
Asymptote Theorem
Behavior of Rational Functions
Suitable Grade Level
Grades 10-12
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