Question

Which graph represents y as a function of x? Question 7 options: The graph of two rays on a coordinate plane. Both rays have endpoints at 0 comma

1. One ray goes through 5 comma 4 and 10 comma 7. The other goes through 11 comma negative 5 and 1.83 comma 0. Graph of a vertical line passing through the x-axis at 6.

Answer 1

The graph that represents y as a function of x is the graph of two rays on a coordinate plane. Both rays have endpoints at (0,1). One ray goes through (5,4) and (10,7). The other ray goes through (11,-5) and (1.83,0).

Step-by-step explanation:

The graph that represents y as a function of x is the graph of two rays on a coordinate plane. Both rays have endpoints at (0,1). One ray goes through (5,4) and (10,7). The other ray goes through (11,-5) and (1.83,0).

When determining which graph represents y as a function of x, one must consider the definition of a function. In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. This characteristic is also known as the vertical line test, where for any x-value on the graph, there should only be one corresponding y-value. Hence, the graph depicting two rays with distinct endpoints that do not overlap on the x-axis would indicate y as a function of x because any vertical line would intersect the graph only once.