Need help with the ones that have Red Cross **Topic: Limits and Function Values**For the function $ h $ whose graph is given, state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.)**Graph Explanation:**The graph depicts a continuous function $ h(x) $ over the domain from $ x = -5 $ to $ x = 8 $. The vertical axis is labeled $ y $, ranging from $ -2 $ to 4. Note that between $ x = 5 $ to $ x = 6 $, the function oscillates rapidly, indicating possible non-existence of limits within this interval.**Limit and Function Value Analysis:**(a) $ \lim_{x \to -3} h(x) $ **Answer:** 4 ✓(b) $ \lim_{x \to -3^+} h(x) $ **Answer:** 4 ✓(c) $ \lim_{x \to -3^-} h(x) $ **Answer:** 0 ✗(d) $ h(-3) $ **Answer:** 0 ✗(e) $ \lim_{x \to 0^-} h(x) $ **Answer:** 1 ✓(f) $ \lim_{x \to 0^+} h(x) $ **Answer:** -1 ✓(g) $ \lim_{x \to 0} h(x) $ **Answer:** -1 ✗(h) $ h(0) $ **Answer:** 1 ✓(i) $ \lim_{x \to 2} h(x) $ **Answer:** one ✗(j) $ h(2) $ **Answer:** DNE ✓(k) $ \lim_{x \to 5^-} h(x) $ **Answer:** 3 ✓(l) $ \lim_{x \to 5^+} h(x) $ **Answer:** 3 ✗For further assistance, click on the "Need Help?" or "Read It" buttons provided at the bottom of the page.

Answered: Image /qna-images/answer/548f5bcd-ef06-4d37-a8fd-353fc6d7b5de.jpg

Answered: -2 (a) lim h(x) X--3 (b) lim h(x) x--3+…

-2 (a) lim h(x) X--3 (b) lim h(x) x--3+ lim h(x) x- -3 (d) h(-3) (e) lim h(x) X- 0 1 lim h(x) x- 0+ (f) -1 lim h(x) X -0 (g) -1 (h) h(0) 1 (i) lim h(x) X- 2 one G) h(2)

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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Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

Need help with the ones that have Red Cross

**Topic: Limits and Function Values**

For the function $ h $ whose graph is given, state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.)

**Graph Explanation:**
The graph depicts a continuous function $ h(x) $ over the domain from $ x = -5 $ to $ x = 8 $. The vertical axis is labeled $ y $, ranging from $ -2 $ to 4. Note that between $ x = 5 $ to $ x = 6 $, the function oscillates rapidly, indicating possible non-existence of limits within this interval.

**Limit and Function Value Analysis:**

(a) $ \lim_{x \to -3} h(x) $
**Answer:** 4 ✓

(b) $ \lim_{x \to -3^+} h(x) $
**Answer:** 4 ✓

(c) $ \lim_{x \to -3^-} h(x) $
**Answer:** 0 ✗

(d) $ h(-3) $
**Answer:** 0 ✗

(e) $ \lim_{x \to 0^-} h(x) $
**Answer:** 1 ✓

(f) $ \lim_{x \to 0^+} h(x) $
**Answer:** -1 ✓

(g) $ \lim_{x \to 0} h(x) $
**Answer:** -1 ✗

(h) $ h(0) $
**Answer:** 1 ✓

(i) $ \lim_{x \to 2} h(x) $
**Answer:** one ✗

(j) $ h(2) $
**Answer:** DNE ✓

(k) $ \lim_{x \to 5^-} h(x) $
**Answer:** 3 ✓

(l) $ \lim_{x \to 5^+} h(x) $
**Answer:** 3 ✗

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