Unit 7: Basic Functions

Unit 7: Basic Functions

• MonDay 32: Basic Four Functions Review, Domain and Range (45)

  • • Video 1: The Definition of a Function

    • Video 2: List of Functions We've Studied

    • Video 3: Function Notation

    • Video 4: Domain with Examples

    • Video 5: Range with Examples

      • • Function Homework 1

          • • Function Homework 1 Answers

            • 1 5

            • 7 8

        • Your Calculus books are available for pick up from the CV front office from 8am - 3pm on school days. Please wear a mask and ring the doorbell on the main entrance door, and office staff will be out to help you. There will also be a cart for book returns, so please return any books you're done using, including lit novels.

• Day 33: More of Day 32

  • • Video 1: Any Requests? Need Extra Help?

      • • Domain and Range Problems (From AP Calculus AB if you need more help)

        • Domain and Range Answers

          • #1 Video Part 1. #1 Video Part 2 #2 Video

          • #3 Video #4 Video #5 Video

          • #6 Video #7 Video #8 Video

          • #9 Video #10 Video

    • Video 2: The Book READ IT!

      • • Your Calculus books are available for pick up from the CV front office from 8am - 3pm on school days. Please wear a mask and ring the doorbell on the main entrance door, and office staff will be out to help you. There will also be a cart for book returns, so please return any books you're done using, including lit novels.

        • Read 1.1 (especially the examples in the book)

        • 1.1: 2, 5-8, 10, 16, 19, 23-27, 31-36, 39-41

          • • Answer Keys

              • Page 1 Page 2 Page 3

              • Page 4 Page 5 Page 6

            • Homework Requests

              • • 16 27 31

                • 36 39 40

                • 41

    • Video 3: FHW 2

      • • Start Function Homework 2 (Enjoy!!!)

          • • Function Homework 2 Answers

• Day 34: Buffer Day

  • • No New Videos

      • • Make sure to get caught up before May 3rd

• Day 35: Composition of Functions Symbolic

  • • Video 1: Quick Thought About Notation

      • • Function Homework 3

          • • Function Homework 3 Answers

        • Keep working on Function Homework 2

• FriDay 36: Composition of Functions Graphical

  • • Video 1: What are Restrictions?

    • Video 2: Function Homework 3 and Restrictions

    • If You Need some Piecewise Review, Here are Some Videos from AP Calculus AB

      • • Video 3: Piecewise Functions Intro, #1, and #2

          • • Piecewise Worksheet

        • Video 4: Piecewise Functions Worksheet #3 and #4

        • Video 5: Piecewise Functions Worksheet #5 and #6

        • Video 6: Piecewise Functions Worksheet #7 and #8

          • • Piecewise Worksheet Answers

            • Draw a piecewise function consisting of linear parts. Write the formula for f(x). Give the formula to a friend that you don't mind losing forever and see if their resulting graph is the same as yours. Rinse and repeat.

    • Video 8: Composition of Functions Assignment

      • • Composition of Functions

        • Keep working on Function Homework 2

• MonDay 37: Tabular to Symbolic Linear and Quadratic

  • • Video 1: What is an Equation of a Line?

    • Video 2: Deriving the Equation of a Line and an Example

    • Video 3: What About Quadratics?

    • Video 4: Another Example and How to Make More

      • • Function Homework 4 (given 2 points find line, given 3 pts find quadratic, given quadratic find yint, xint, axis and vertex. Do an infinite number of these)

        • Canvas Quiz: Domain and Range (Retakable)

• Day 38: Buffer Day

  • • No Videos

      • • REDO Function Homework 1

        • REDO Function Homework 3

        • Finish Function Homework 2

        • REDO Function Homework 2

        • Possibly start Function Homework 2 for the first time?

        • REDO Function Homework 4

• Day 39: Tabular to Symbolic Exponential

  • • Video 1: Why is this Video so Long??

    • Video 2: How Fractions Work

    • Video 3: Radicals Make Me Angry (Part 1)

    • Video 4: Radicals Make Me Angry (Part 2)

      • • Function Homework 5 (I expect some requests....)

          • • Function Homework 5 Answers

            • 2 4 5

        • Keep working on Function Homework 2

        • REDO all homework from Day 38

• Day 40: More Practice

  • • • Function Homework 5.5 (do an infinite number of problems like FHW#5)

FRQ 10: Given Points, Find Equation (Linear, Quadratic, Exponential)

Shoot for about 20 minutes

No Calculators

• FriDay 41: More on Exponential Functions

  • • Read Section 1.5

      • • 1.5: 11, 13, 15, 16, 19, 21, 23, 24

          • • 15 16 21

            • 23 24

        • REDO Function Homework 2

• MonDay 1: Inverse and Logarithms

  • • Video 1: A Very Challenging Problem. Prepare Yourself

    • Video 2: Remember Logarithms?

    • Video 3: An Example of a FRQ 11 Problem

    • Video 4: Another Example of a FRQ 11 Problem

      • • • Some of you still don't have books????

            • • Books are available for pick up from the CV front office from 8am - 3pm on school days. Please wear a mask and ring the doorbell on the main entrance door, and office staff will be out to assist you. Please bring with you any school books or other materials that you are done using--there will be a cart to return items.

          • Function Homework 6: Infinite number of y = a * b^x (given x find y, given y find x)

          • Function Homework 7: Infinite number of y = a log(b) x (given x find y, given y find x)

• Day 2: More Inverse and Logarithm

  • • No New Videos

      • • READ 1.6

        • 1.6: 3-11 odd, 18, 23-28, 35-38, 45, 49-52

          • • 18 24 26

            • 28 37b 45

            • 51 52

        • Aren't you done with Function Homework 2 Yet?

        • Start over on Function Homework 2

FRQ 11: Exponential and Logarithmic Functions

10 points

Be sure to have mastered FHW 6 and FHW 7 first

No Calculators

Shoot for about 15 minutes

• Day 3: Parametric Equations

  • • Video 1: Is This a Function?

    • Video 2: First Example - Graphing by hand, Eliminate the Parameter to find the Cartesian Equivalent

    • Video 3: Example 2

    • Video 4: "Neat" Stuff

    • Video 5: More

    • Video 6: Remember Inverse?

      • • 1.7: #6-8, 12-14, 16, 20, 26, 36

          • • Answers

              • • Answers 1 Answers 2 Answers 3

                • Answers 4 Answers 5 Answers 6

        • Requests

          • • 14 20

            • 26 36

• Day 4: Buffer

  • • No New Videos

      • • Are you sick of Function Homework 2 yet?

• FriDay 5: Bonus Buffer

  • • No New Videos

      • • Redo all of the Function Homework assignments 10 times each.