3^x− 6/x draw graph of values -2<x<2.5
​

Here is the graph of the function \( 3^x - \frac{6}{x} \) for the range \( -2 < x < 2.5 \). Notice the function is undefined at \( x = 0 \), 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:

1. What happens to the function as \( x \) approaches 0 from the left and right?
2. How does the graph behave for negative values of \( x \)?
3. Can we find the critical points of this function?
4. What are the asymptotes of the function?
5. How does this function compare to simpler exponential functions like \( 3^x \)?

**Tip:** For functions involving division by \( x \), always check how they behave near \( x = 0 \) to spot discontinuities or asymptotes.

Explore the graph of the function 3^x - 6/x within the range -2 < x < 2.5. Learn about the discontinuity at x = 0 and the behavior of this function as x approaches 0, as well as its exponential growth for positive values of x. This problem covers concepts like exponential functions, rational functions, and discontinuities, suitable for students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation