CK-12-Pre-Calculus Concepts

14.6. One Sided Limits and Continuity http://www.ck12.org Example A What are the one sided limits at -5, -1, 3 and 5? Solution: ...

http://www.ck12.org Chapter 14. Concepts of Calculus b. limx→ 2 +(x−^12 ) c. limx→ 1 + (x (^2) + 2 x− 3 x− 1 ) Solution:Most of ...

14.6. One Sided Limits and Continuity http://www.ck12.org Vocabulary Aone sided limitis a limit of a function when the evidence ...

http://www.ck12.org Chapter 14. Concepts of Calculus Megan is being extremely liberal with the idea of “=∞” because what she re ...

14.6. One Sided Limits and Continuity http://www.ck12.org What is limx→− 2 −g(x)? What is limx→− 2 +g(x)? Isg(x)continuous atx= ...

http://www.ck12.org Chapter 14. Concepts of Calculus 14.7 Intermediate and Extreme Value Theorems Here you will use continuity t ...

14.7. Intermediate and Extreme Value Theorems http://www.ck12.org Simply stated, if a function is continuous between a low point ...

http://www.ck12.org Chapter 14. Concepts of Calculus Example A Show that the converse of the Intermediate Value Theorem is false ...

14.7. Intermediate and Extreme Value Theorems http://www.ck12.org Example B Show that the converse of the Extreme Value Theorem ...

http://www.ck12.org Chapter 14. Concepts of Calculus x^8 = 2 x Show that there is at least one solution to the following equati ...

14.7. Intermediate and Extreme Value Theorems http://www.ck12.org True or false: If a function is continuous over the interval[ ...

http://www.ck12.org Chapter 14. Concepts of Calculus 14.8 Instantaneous Rate of Change Here you will learn about instantaneous r ...

14.8. Instantaneous Rate of Change http://www.ck12.org Because you are interested in the slope as the “run” approaches zero, thi ...

http://www.ck12.org Chapter 14. Concepts of Calculus Solution:Calculate the slope between( 1 , 1 )and 4 other points on the curv ...

14.8. Instantaneous Rate of Change http://www.ck12.org Guided Practice Sketch a complete cycle of a sine graph. Estimate the sl ...

http://www.ck12.org Chapter 14. Concepts of Calculus Rate vs. Time: (this is the graph of the derivative of the original functio ...

14.8. Instantaneous Rate of Change http://www.ck12.org Approximate the slope ofy= 3 x^2 +1 at( 1 , 4 )by using secant lines fro ...

http://www.ck12.org Chapter 14. Concepts of Calculus 14.9 Area Under a Curve http://www.ck12.org Contents Here you will estimate ...

14.9. Area Under a Curve http://www.ck12.org The blue approximation uses right handed boxes. The red approximation assigns the h ...

http://www.ck12.org Chapter 14. Concepts of Calculus The area of the first box is 2 times the height of the function evaluated a ...