Math Problem Statement
3^x− 6/x draw graph of values -2<x<2.5
Solution
Here is the graph of the function for the range . Notice the function is undefined at , which is why there's a break in the curve.
Would you like more details on the behavior of this graph or the function?
Here are five related questions to explore further:
- What happens to the function as approaches 0 from the left and right?
- How does the graph behave for negative values of ?
- Can we find the critical points of this function?
- What are the asymptotes of the function?
- How does this function compare to simpler exponential functions like ?
Tip: For functions involving division by , always check how they behave near to spot discontinuities or asymptotes.
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Math Problem Analysis
Mathematical Concepts
Exponential Functions
Rational Functions
Graphing
Formulas
f(x) = 3^x - 6/x
Theorems
Continuity and Discontinuity
Asymptotes
Suitable Grade Level
Grades 10-12