LINEAR FUNCTIONS

julia bagdadi, Feb 23, 2016

Adapted from the e-textbook VisualMath developed by Yerushalmy, Shternberg & Katriel [url]http://visualmath.haifa.ac.il/en[/url]

Table of Contents

  1. Equivalent Expressions of Functions
    1. Same Correspondence Rules, Different Stories
    2. Describing a Trip
    3. Telephone rates
    4. Speeding Car
    5. Emphasizing Information Using Correspondence Rules
    6. Partial Pictures
    7. Emphasizing Intersections
    8. Families of Functions
    9. Exercise 1
    10. Exercise 2
    11. Exercise 3
    12. Exercise 4
    13. Exercise 5
    14. Exercise 6
    15. Exercise 7
    16. Exercise 8
    17. Exercise 9
    18. Exercise 10
    19. Exercise 11
    20. Exercise 12
    21. Exercise 13
    22. Exercise 14
    23. Exercise 15
    24. Exercise 16
    25. Exercise 17
    26. Exercise 18
    27. Exercise 19
  2. Rate of Change of Linear Functions
  3. Addition and Subtraction of Linear Functions
    1. Exercise 1
    2. Exercise 2
    3. Exercise 3
    4. Exercise 4
    5. Exercise 5
  4. Functions Defined on Intervals
  5. Representations of Linear Functions
    1. Exercise 2
    2. Exercise 3
    3. Exercise 4
    4. Exercise 5
    5. Different Prices
    6. Exercise 1
    7. At the Gas Station - Task
    8. Changing Grades - Task
  6. Transformation of Graphs
    1. Exercise 1
    2. Exercise 2
    3. Exercise 3
    4. Exercise 4
    5. Exercise 5
    6. Exercise 6
    7. Exercise 7
    8. Exercise 8
    9. Exercise 9

1.

Equivalent Expressions of Functions

  • 1. Same Correspondence Rules, Different Stories
  • 2. Describing a Trip
  • 3. Telephone rates
  • 4. Speeding Car
  • 5. Emphasizing Information Using Correspondence Rules
  • 6. Partial Pictures
  • 7. Emphasizing Intersections
  • 8. Families of Functions
  • 9. Exercise 1
  • 10. Exercise 2
  • 11. Exercise 3
  • 12. Exercise 4
  • 13. Exercise 5
  • 14. Exercise 6
  • 15. Exercise 7
  • 16. Exercise 8
  • 17. Exercise 9
  • 18. Exercise 10
  • 19. Exercise 11
  • 20. Exercise 12
  • 21. Exercise 13
  • 22. Exercise 14
  • 23. Exercise 15
  • 24. Exercise 16
  • 25. Exercise 17
  • 26. Exercise 18
  • 27. Exercise 19

1.1.

Same Correspondence Rules, Different Stories

The four diagrams describe journeys taken by two motorcycle riders. The journeys are described by the same correspondence rules, but the domain of definition of each function is different.Write a verbal description for each story and describe the similari
– julia bagdadi

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1.25.

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2.

Rate of Change of Linear Functions


    This chapter does not contain any resources yet.

3.

Addition and Subtraction of Linear Functions

  • 1. Exercise 1
  • 2. Exercise 2
  • 3. Exercise 3
  • 4. Exercise 4
  • 5. Exercise 5

3.1.

Exercise 1

A linear function f is given, and its point of intersection with the y-axis is marked. Construct a linear function g so that the point of intersection of the function f+g with the y-axis will be the same as that of f.
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4.

Functions Defined on Intervals


    This chapter does not contain any resources yet.

5.

Representations of Linear Functions

  • 1. Exercise 2
  • 2. Exercise 3
  • 3. Exercise 4
  • 4. Exercise 5
  • 5. Different Prices
  • 6. Exercise 1
  • 7. At the Gas Station - Task
  • 8. Changing Grades - Task

5.1.

Exercise 2

Construct a function with the given value-table.
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6.

Transformation of Graphs

  • 1. Exercise 1
  • 2. Exercise 2
  • 3. Exercise 3
  • 4. Exercise 4
  • 5. Exercise 5
  • 6. Exercise 6
  • 7. Exercise 7
  • 8. Exercise 8
  • 9. Exercise 9

6.1.

Exercise 1

A linear function g1, whose graph passes through the origin, and a point on the y-axis, are given. Construct a linear function whose graph is parallel to the graph of g1 and passes through the given point.
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