Decide whether each representation is best described by a quadratic, exponential, or logarithmic function.
If the function is exponential, find the base (also called the growth factor): How much does y increase (2x? 10x?) for a single increase in x?
If the function is logarithmic, find the base: How much does x need to increase (2x? 10x?) just to get a single increase in y?

x y

1

0

10

1

100

2

1000

3

10000

4

100000

5

1000000

6

1

Quadratic

Exponential base

Logarithmic base
x y

0

1

1

10

2

100

3

1000

4

10000

5

100000

6

1000000

2

Quadratic

Exponential base

Logarithmic base
x y

70

-169

71

-126

72

-81

73

-34

74

15

75

66

76

119

3

Quadratic

Exponential base

Logarithmic base
x y

5

1

10

2

20

3

40

4

80

5

160

6

320

7

4

Quadratic

Exponential base

Logarithmic base
x y

-3

36

-2

16

-1

4

0

0

1

4

2

16

3

36

5

Quadratic

Exponential base

Logarithmic base
x y

1

0

6

1

36

2

216

3

1296

4

7776

5

466656

6

6

Quadratic

Exponential base

Logarithmic base

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