NC.M4.AF.3.3
Interpret key features of a logarithmic function using multiple representations.
Example Problems
Table I contains outputs of the function for some x values, and Table II contains outputs of the function for some x values. In both functions, b is the same positive constant.
What is the missing value in the table?
What is the missing value in the table?
| TABLE I: | ||||
|---|---|---|---|---|
| x | –1 | 0 | 1 | 2 |
| 2 | 1 | 0.5 | ? |
| TABLE II: | ||||
|---|---|---|---|---|
| x | 2 | 1 | 0.5 | 0.25 |
| –1 | 0 | 1 | 2 |
Table I contains outputs of the function for some x values, and Table II contains outputs of the function for some x values. In both functions, b is the same positive constant.
What is the missing value in the table?
What is the missing value in the table?
| TABLE I: | |||||
|---|---|---|---|---|---|
| x | 0.5 | 1 | 2 | 3 | 4 |
| 1.414 | 2 | 4 | 8 | 16 |
| TABLE II: | |||||
|---|---|---|---|---|---|
| x | 1.414 | 2 | 4 | 8 | 16 |
| 0.5 | 1 | 2 | 3 | ? |
Table I contains outputs of the function for some x values, and Table II contains outputs of the function for some x values. In both functions, is the same positive constant.
What is the missing value in the table?
TABLE I:
TABLE II:
What is the missing value in the table?
TABLE I:
| x | |
|---|---|
| –1 | 0.5 |
| 1.585 | 3 |
| 2.585 | ? |
| 4.17 | 18 |
TABLE II:
| x | |
|---|---|
| 0.5 | –1 |
| 2 | 1 |
| 3 | 1.585 |
| 6 | 2.585 |

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