To determine if height is a function of wrist circumference, we need to consider the definition of a function: every input (wrist circumference in this case) must have exactly one output (height).
Looking at the graph data:
- The wrist circumference of 13.8 cm corresponds to a height of 151 cm.
- The wrist circumference of 14.2 cm also corresponds to a height of 151 cm.
- The wrist circumference of 15.2 cm corresponds to the height of 156 cm.
- The wrist circumference of 15.6 cm corresponds to the height of 159 cm.
- The wrist circumference of 16 cm corresponds to two heights: 162 cm and 165 cm.
Since we have a case where the wrist circumference of 16 cm leads to two different heights, it violates the definition of a function. Therefore, height is not determined solely by wrist circumference in this dataset.
The correct answer is: No because the wrist circumference of 16 cm is paired with two heights.