APFIVE Function Behavior From Tabular Data
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 |
A
The function first decreases from $$x = 1$$ to $$x = 2$$ before increasing thereafter.
B
The function increases from $$x = 1$$ to $$x = 3$$ and then decreases from $$x = 3$$ to $$x = 4$$, indicating a local maximum at $$x = 3$$.
C
The function remains constant because the differences between successive values are uniform.
D
The function increases for all values of $$x$$, as seen consistently in the table.
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