Exploring Limits Graphically in Calculus

The video introduces a new calculus course focusing on AP Calculus AB material, led by Mr. Bean and Mr. Bress. It covers guidelines for calculator use, emphasizing when they are allowed in lessons and exams. The core topic is understanding limits, including graphical representation, one-sided limits, and conditions when limits do not exist. The video also demonstrates graphing functions based on limit conditions, ensuring students understand the vertical line test.

What is the primary focus of the calculus course mentioned in the introduction?

• AP Calculus BC

• College Algebra

• Trigonometry

• AP Calculus AB

Who are the two main teachers for the calculus course?

• Mr. Bress and Mr. Sullivan

• Mr. Bean and Mr. Kelly

• Mr. Bean and Mr. Bress

• Mr. Sullivan and Mr. Kelly

Tags

CCSS.8.EE.C.7B

When are calculators allowed during the lessons?

• Never

• Always

• Only during exams

• Only during specific problems and lessons

Tags

CCSS.8.EE.C.7B

What is a limit in calculus?

• A y-value that the graph approaches from both sides of a given x-value

• A point where the graph stops

• A point where the graph intersects the x-axis

• A maximum value of a function

What happens to the limit if there is a hole at the given x-value?

• The limit does not exist

• The limit is zero

• The limit is the y-value of the hole

• The limit is undefined

What is a one-sided limit?

• A limit that is always zero

• A limit that approaches from both sides

• A limit that approaches from only one side

• A limit that does not exist

Tags

CCSS.HSF.IF.A.2

How do you denote a limit approaching from the left side?

• With a tilde

• With a plus superscript

• With a minus superscript

• With an asterisk

When does a limit not exist?

• When the function has a maximum value

• When the function is differentiable

• When the function is continuous

• When the left and right side limits are different

What is unbounded behavior in the context of limits?

• When the function approaches infinity

• When the function oscillates

• When the function is continuous

• When the function has a hole

Tags

CCSS.HSF-IF.C.7D

What is oscillating behavior in a function?

• When the function has a hole

• When the function bounces back and forth near a point

• When the function is continuous

• When the function approaches infinity