Hello,I need to evaluate the limits below but the grahp is made on paint, sorry about that.1. lim x---> -3^+2. lim x---> 0^-3. lim x---> 04. lim x----> 6^+The (^) means that the signs (+) or (-) are on top of the numbers.Sorry if the graph is unreadable, thank you so much in advance! The image presents a graph on a Cartesian coordinate system, illustrating a mathematical function. ### Components of the Graph:- **Axes**: - The horizontal line represents the x-axis, labeled as "X" on the positive side and "-X" on the negative side. - The vertical line represents the y-axis, labeled as "y" on the positive side and "-y" on the negative side. - **Graph of the Function**: - The graph is drawn in blue and represents the function \( f(x) \). - The curve shows fluctuations as it moves from left to right, indicating changes in the value of \( f(x) \) with respect to \( x \).- **Highlighted Points**: - Several points on the curve are marked with green circles, indicating key points or intersections. - Some points are larger, possibly indicating maximum or minimum values on the curve.- **Asymptote**: - A red dashed vertical line is present near \( x = 6 \), suggesting a vertical asymptote where the function approaches infinity.- **X-axis Overview**: - The negative side of the x-axis has points labeled from -4 to 0. - The positive side extends from 0 to 6.- **Y-axis Overview**: - The y-axis is labeled from -2 to 4, which captures the range of the function shown.### Interpretation:- The graph depicts a polynomial or rational function with maximum and minimum values evident from the peaks and troughs.- The vertical asymptote indicates values where the function does not exist, typically representing division by zero in rational functions.- The function exhibits periodic behavior with apparent oscillations, which can be associated with certain trigonometric functions or other complex equations.This graph serves as a visual representation of function behavior, useful for analyzing continuity, limits, and points of interest such as extrema and asymptotic behavior.

Hello, I need to evaluate the limits below but the grahp is made on paint, sorry about that. 1. lim x---> -3^+ 2. lim x---> 0^- 3. lim x---> 0 4. lim x----> 6^+ The (^) means that the signs (+) or (-) are on top of the numbers.

Hello, I need to evaluate the limits below but the grahp is made on paint, sorry about that. 1. lim x---> -3^+ 2. lim x---> 0^- 3. lim x---> 0 4. lim x----> 6^+ The (^) means that the signs (+) or (-) are on top of the numbers.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Hello,

I need to evaluate the limits below but the grahp is made on paint, sorry about that.

1. lim x---> -3^+

2. lim x---> 0^-

3. lim x---> 0

4. lim x----> 6^+

The (^) means that the signs (+) or (-) are on top of the numbers.

Sorry if the graph is unreadable, thank you so much in advance!

The image presents a graph on a Cartesian coordinate system, illustrating a mathematical function.

### Components of the Graph:
- **Axes**:
- The horizontal line represents the x-axis, labeled as "X" on the positive side and "-X" on the negative side.
- The vertical line represents the y-axis, labeled as "y" on the positive side and "-y" on the negative side.

- **Graph of the Function**:
- The graph is drawn in blue and represents the function \( f(x) \).
- The curve shows fluctuations as it moves from left to right, indicating changes in the value of \( f(x) \) with respect to \( x \).

- **Highlighted Points**:
- Several points on the curve are marked with green circles, indicating key points or intersections.
- Some points are larger, possibly indicating maximum or minimum values on the curve.

- **Asymptote**:
- A red dashed vertical line is present near \( x = 6 \), suggesting a vertical asymptote where the function approaches infinity.

- **X-axis Overview**:
- The negative side of the x-axis has points labeled from -4 to 0.
- The positive side extends from 0 to 6.

- **Y-axis Overview**:
- The y-axis is labeled from -2 to 4, which captures the range of the function shown.

### Interpretation:
- The graph depicts a polynomial or rational function with maximum and minimum values evident from the peaks and troughs.
- The vertical asymptote indicates values where the function does not exist, typically representing division by zero in rational functions.
- The function exhibits periodic behavior with apparent oscillations, which can be associated with certain trigonometric functions or other complex equations.

This graph serves as a visual representation of function behavior, useful for analyzing continuity, limits, and points of interest such as extrema and asymptotic behavior.

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