Multiple choice question asking which table does not represent y as a function of x, showing four tables with corresponding x and y values.

To determine which table does NOT show y as a function of x, we need to recall the definition of a function:
→ For every input (x-value), there must be only one output (y-value).
→ If the same x-value appears more than once with different y-values, then it’s NOT a function.

Let’s check each table:

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Table F:
x-values: 1/10, 1/8, 1/5, 1/4, 1/2 — all different.
Even though y=9 appears twice, that’s okay because it’s paired with different x-values.
✔ This IS a function.

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Table G:
x-values: 14, 15, 16, 17, 18 — all different.
y-values can repeat; no problem.
✔ This IS a function.

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Table H:
x-values: -0.2, 0.6, -1.3, 1.0, -0.2 ← here, x = -0.2 appears twice!
First time: x = -0.2 → y = 5.8
Second time: x = -0.2 → y = 8.1
Same x, different y → ✘ NOT a function!

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Table J:
x-values: -24, 21, 24, -27, 29 — all different.
Even though y=2.7 and y=2.5 appear twice, they’re paired with different x-values.
✔ This IS a function.

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So, only Table H has an x-value that maps to two different y-values. That breaks the rule of a function.

Final Answer:
H