can someone explain this please?

Identify whether each graph represents a function. Explain. If the graph dose represent a function is the function linear?

the coordinates are (0,5) (1,0) (2,-3) (3.-4)(5,0) (6,5)

I see two different x's producing the same y value

(1,0) and (5,0).

So you don't have a function.

Thank you!!!

To determine if the given graph represents a function, we need to check whether each x-coordinate has a unique y-coordinate.

Looking at the given coordinates:

(0, 5)
(1, 0)
(2, -3)
(3, -4)
(5, 0)
(6, 5)

We can see that there are no repeated x-coordinates. Therefore, each x-coordinate has a unique y-coordinate.

Hence, the graph represents a function.

To determine if the function is linear, we need to check if the data points fit a straight line.

If we plot the points on a graph, we can see that the points do not fall on a straight line. Instead, they seem to form a curved shape. Therefore, the function represented by the given graph is not linear.

To determine whether a graph represents a function, we need to check if each x-coordinate is associated with only one y-coordinate.

Looking at the given graph's coordinates:
(0, 5), (1, 0), (2, -3), (3, -4), (5, 0), (6, 5)

We can see that each x-value has a unique y-value associated with it. Therefore, this graph represents a function because it passes the vertical line test.

Next, let's determine if the function is linear. To do this, we need to see if the graph traces a straight line.

By observing the coordinates, we can see that the points do not lie on a straight line. So, the function is not linear.