Question

Consider the function that assigns to each positive number x the value

Do you think this function is linear or nonlinear?
Develop a list of inputs and outputs for this function. Organize your work using the table below. Then, answer the questions that follow.

Input (x)
Output (y)
0.1
1/10 .
0.2
1/5
0.4
2/5
0.5
1/2
0.8
4/5
1
0
1.6
8/5
2
0
2.5
5/2
4
0
5
0

Plot the inputs and outputs as ordered pairs defining points on the coordinate plane.- You will do this on the peardeck or a piece of paper.
What shape does the graph of the points appear to take?
Find the rate of change using rows 1 and 2 from the table above.
Find the rate of change using rows 2 and 3 from the table above.
Find the rate of change using any two other rows from the table above.
Return to your initial claim about the function. Is it linear or nonlinear? Justify your answer with as many pieces of evidence as possible.

Answer 1

The Answer should be: 40 49 60 8 54

\

95 82 40 18 39

94 72 23 70 39

24 55 6 48 40

16 100 67 93 83

2 59 97 66 28

51 81 81 6 1

29 59 34 15 65

100 94 100 70 64

87 33 20 79 76

47 56 83 58 1

36 14 71 87 26

13 4 67 26 76

85 44 55 99 64

89 50 13 10 29

62 76 82 51 71

69 13 76 3 46

71 5 51 81 15

53 94 47 55 61

6 23 97 99 46

3 87 45 49 72

87 14 32 29 22

84 60 17 4 95

100 51 39 77 87

31 97 11 80 94

78 61 38 79 35

87 67 11 21 70

82 43 19 74 42

58 90 24 8 3

61 3 63 84 1

15 67 79 31 83

28 27 93 46 39

76 7 57 82 97

35 38 73 6 88

24 95 20 90 73

17 49 4 63 63

100 3 23 52 80

17 61 39 68 63

67 27 16 81 84

81 37 43 82 34

97 54 8 32 78

99 77 20 71 17

21 42 52 48 8

46 75 71 55 74

11 48 80 39 30

76 50 52 89 100

19 10 57 21 79

58 53 99 99 11

24 59 72 16 52

91 84 36 21 22

72 44 52 56 29

96 78 57 91 47

72 42 35 79 99

44 51 76 93 16

16 36 63 82 63

42 36 82 86 30

63 42 78 75 50

65 2 50 21 32

10 23 26 96 96

61 13 16 37 58

3 30 99 93 1

54 43 8 94 13

62 54 76 14 40

12 22 68 57 24

83 16 36 2 66

49 68 65 88 2

19 36 17 89 59

51 68 100 39 75

67 27 50 87 100

12 87 65 2 1

47 61 50 36 29

64 37 68 3 99

20 83 98 91 77

53 35 37 78 89

87 79 73 20 49

19 36 23 58 29

76 4 18 44 61

65 25 84 11 3

99 97 74 92 97

9 47 73 47 8

35 96 15 65 16

93 5 48 53 28

59 23 7 47 50

20 73 26 86 92

21 10 99 91 32

32 35 63 47 25

3 87 75 9 5

4 75 15 79 43

62 33 6 23 70

81 37 96 93 33

49 72 20 47 61

30 51 67 77 16

51 11 66 68 36

49 45 29 10 98

92 39 36 89 57

74 70 77 13 94

78 1 80 33 85

34 82 27 1 97

59 99 72 82 20

73 67 35 69 68

61 83 15 77 72

31 90 77 9 71

96 96 30 75 87

40 97 78 26 16

41 5 4 57 82

50 94 11 1 94

2 72 71 6 77

89 12 22 68 82

2 35 88 11 43

54 46 9 30 95

7 90 63 13 70

10 15 49 97 73

12 7 86 24 69

91 99 40 51 18

2 79 91 19 97

99 9 66 86 92

70 34 77 31 95

89 25 68 70 57

65 36 4 24 95

36 48 92 44 62

69 84 41 52 92

84 20 66 23 73

16 85 44 17 2

9 90 58 28 90

53 41 42 15 37

18 87 53 21 57

55 25 24 5 57

93 24 17 37 63

8 92 68 68 20

100 69 45 73 11

100 79 27 99 36

44 38 10 100 27

35 32 10 28 70

53 67 81 26 97

9 42 22 1 91

61 70 80 16 38

87 91 49 1 12

57 1 22 12 24

71 88 72 42 23

67 41 20 89 14

24 1 40 41 78

86 77 23 57 96

65 90 27 1 5

59 61 39 34 28

47 83 80 84 44

29 79 94 52 86

32 39 49 100 74

31 87 65 59 47

41 53 99 79 50

83 32 70 69 27

73 69 56 20 99

26 96 14 49 66

42 94 78 88 43

38 93 62 70 97

6 84 59 86 17

20 3 100 52 71

96 71 52 65 30

39 60 100 100 10

82 52 88 39 98

82 28 91 71 33

15 32 7 100 51

40 15 51 42 70

59 54 26 47 74

98 26 42 18 96

40 76 89 79 94

61 70 21 95 18

37 25 99 91 30

86 22 87 18 53

76 57 41 71 52

10 54 35 36 36

53 14 95 5 45

49 98 16 40 8

81 67 54 82 76

83 83 94 37 76

86 23 57 42 79

63 35 88 75 100

26 70 35 35 14

64 24 98 76 46

86 65 59 76 49

70 96 65 57 30

80 1 54 19 93

28 44 11 63 24

61 27 76 6 62

44 22 24 69 58

21 92 44 100 68

82 78 74 4 100

3 52 94 18 91

32 9 95 94 40

67 57 62 46 36

91 24 22 70 17

71 74 66 2 48

86 41 52 66 54

33 99 23 40 81

65 32 16 54 48

18 79 67 4 42

9 47 13 27 59

57 80 24 51 32

86 1 95 17 83

47 38 3 27 26

21 50 99 14 66

40 74 98 16 92

9 15 21 33 87

35 91 50 7 26

22 56 27 77 92

14 81 54 40 63

84 15 48 72 75

70 50 37 48 66

34 12 17 98 51

47 2 33 39 86

10 87 57 6 95

25 74 70 44 57

91 10 34 21 99

21 81 61 87 88

19 38 73 50 11

97 63 83 28 74

7 91 44 32 56

53 98 100 51 70

86 79 18 22 45

46 28 59 76 23

21 57 67 24 16

30 22 12 65 23

51 12 62 39 97

60 49 31 68 21

84 24 66 5 24

64 63 57 12 1

58 79 1 5 62

52 15 69 26 40

17 43 32 73 79

79 25 41 98 46

50 14 91 5 93

23 65 55 85 80

71 62 14 79 53

30 5 88 30 18

2 45 41 45 99

89 13 35 96 12

58 1 71 25 38

73 53 89 63 69

67 93 72 1 17

12 96 12 86 75

1 17 77 92 5

40 78 15 82 5

75 5 34 39 71

80 4 80 13 55

69 44 61 57 45

52 5 49 27 74

76 95 68 93 45

30 75 52 1 51

43 11 43 65 69

3 3 12 4 83

96 58 45 31 89

71 28 49 89 41

31 13 45 86 89

85 61 5 72 60

20 14 19 36 6

29 64 41 40 74

66 16 7 42 15

20 42 72 66 63

97 90 33 47 84

97 81 5 33 58

72 23 25 84 1

17 60 34 51 43

3 29 96 90 37

39 28 43 17 52

99 23 85 93 27

9 10 90 19 30

2 77 6 88 17

45 85 59 60 64

32 11 70 52 2

100 33 22 12 62

42 93 37 5 55

54 70 49 81 4

40 29 45 13 84

83 63 30 46 23

34 19 44 35 8

90 71 19 100 9

28 87 52 6 11

26 14 23 3 13

57 89 82 12 56

69 63 22 3 8

40 38 2 5 4

64 66 52 8 4

62 71 41 39 58

42 76 98 65 33

92 16 48 29 44

8 96 98 74 57

22 12 15 46 10

50 34 75 2 8

40 22 100 21 16

22 60 38 94 81

32 42 65 45 93

23 93 85 64 6

36 12 94 4 79

97 9 96 26 35

12 19 56 4 67

15 47 72 78 74

30 78 100 83 69

24 50 39 87 93

47 11 4 32 15

35 26 9 14 60

11 56 88 84 47

3 28 47 40 67

3 2 94 16 68

28 76 21 86 97

23 85 8 68 49

63 67 82 66 36

20 21 56 91 6

61 24 92 47 89

32 5 83 37 46

70 56 69 41 14

68 52 84 19 9

19 96 54 46 5

23 26 49 79 31

98 48 7 88 56

78 72 82 62 47

3 35 60 95 28

17 34 63 32 81

57 58 88 23 72

25 85 46 36 35

46 26 73 91 63

Answer 2

I don’t know................