Function Behavior From Tabular Data

Question

The table shows selected values for a function `f`. Which of the following statements best describes the behavior of the function based on the values in the table?

| x | f(x) |
|---|------|
| 1 | 5    |
| 2 | 7    |
| 3 | 10   |
| 4 | 8    |

Accepted Answer

The function increases from $$x = 1$$ to $$x = 3$$ and then decreases from $$x = 3$$ to $$x = 4$$, indicating a local maximum at $$x = 3$$.

Answer

The function first decreases from $$x = 1$$ to $$x = 2$$ before increasing thereafter.

Answer

The function increases for all values of $$x$$, as seen consistently in the table.

Answer

The function remains constant because the differences between successive values are uniform.

Function Behavior From Tabular Data

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