Question

is the graph a function or not a function
x y
4 4
5 5
5 0
7 8
10 1

Answer 1

To determine if a set of points represents a function, we apply the vertical line test. A set of points (or a graph) is considered a function if each input (x-value) corresponds to exactly one output (y-value).

Let's analyze the given points:

- (4, 4)
- (5, 5)
- (5, 0)
- (7, 8)
- (10, 1)

Now, look specifically at the x-values:

- The x-value 5 corresponds to two different y-values: 5 and 0.

Since the x-value of 5 maps to two different y-values (5 and 0), this violates the definition of a function.

Therefore, the graph represented by the given points is **not a function**.