Question

Which table does NOT show y as a function of x?

F.

x1101101818151514141212y9119147

G.

x1415161718y1008011010090

H.

x−0.20.6−1.31.0−0.2y5.8−3.74.4−0.98.1

J.

x−242124−2729y2.72.82.72.52.5

Answer 1

To determine which table does NOT show \( y \) as a function of \( x \), we need to check if for every value of \( x \), there is exactly one corresponding value of \( y \). If there are multiple \( y \) values for a single \( x \) value, then it is not a function.

Let's analyze each option:

**F.**
- \( x: 1, 1, 0, 1, 8, 18, 15, 14, 14, 12, 12 \)
- \( y: 9, 9, 11, 9, 14, 7 \)

Here, multiple \( x \) values (such as 1 and 12) correspond to a single \( y \) value. Therefore, this does not represent a function.

**G.**
- \( x: 14, 15, 16, 17, 18 \)
- \( y: 10, 0, 80, 110, 100, 90 \)

Each \( x \) value corresponds to exactly one \( y \) value. Thus, this is a function.

**H.**
- \( x: -0.2, 0, 0.6, -1.3, 1.0, -0.2 \)
- \( y: 5.8, -3.7, 4.4, -0.9, 8.1 \)

The \( x \) value \(-0.2\) corresponds to more than one \( y \) value, indicating that it does not represent a function.

**J.**
- \( x: -2, 4, 2, 4, -2, 7 \)
- \( y: 2.7, 2.8, 2.7, 2.5, 2.5 \)

This table has multiple \( y \) values for some \( x \) values (specifically for \( x = -2 \)), hence it does not represent a function.

**Conclusion:**
Thus, the answer is **F, H, and J** all do NOT show \( y \) as a function of \( x \). The ones that particularly violate the function condition are F and J.