Question 8.
Let's select the correct representation that shows y as a function of x.
When y is a function of x, it means the values of y depends on the values of x.
Let's start from the first option.
• F. Given the table:
x 0 1 0 -2
y 5 8 -5 -4
This relation is not a function because there are more than one y value for one value for x.
• G. From the graph, let's use the vertical line test to verify if it represents a function.
If you draw a vertical line and it touches the curve on more than one point, this means the graph does not show y as a function of x.
Here, the graph passes the vertical line test.
Therefore, graph G shows y as a function of x.
ANSWER:
G.
