Answer: Choice C. (-3.5, -3)
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Explanation:
Draw a vertical number line. Make sure to plot the points -3 and -4 on this number line. We'll have -4 below -3. In between these values is -3.5
The ceiling function brings the point -3.5 up to -3. Think of an elevator that visits each floor of a skyscraper. Each floor being a positive or negative whole number on this number line. So when x = -3.5, this means f(x) = -3. This points to choice C being the answer.
As another example, if x = 5.7, then f(x) = 6. Yet another example would be x = 2.008 leads to f(x) = 3. We always move up to the closest integer.
