Question

http://prntscr.com/h80rng

Answer 1

i think its not a function

Answer 2

Why do you think it is not a function? What makes a graph of a line "Not a Function"?

Answer 3

because it goes through 0,0

Answer 4

Really? Where did you read that if a line goes through the point (0,0), it is no longer a function?

Answer 5

because 0,0 wouldn't relate to any function?

Answer 6

Try to think of (0,0) as a point just like any other point when it comes to determining whether or not the graph of a figure is a function. In this particular sense, (0,0) does not have any special powers over other points that would prevent a graph from being a function.

Answer 7

oh ok

Answer 8

so it is a function

Answer 9

What you should actually do is make sure that the graph passes the vertical line test.

Answer 10

?

Answer 11

Because if it passes the vertical line test, then it is a function.

Answer 12

whats that?

Answer 13

For the sake of time, I'm going to reference wikipedia:

Vertical Line Test:
A function can only have one output, y, for each unique input, x. If a vertical line intersects a curve on an xy-plane more than once then for one value of x the curve has more than one value of y, and so, the curve does not represent a function. If all vertical lines intersect a curve at most once then the curve represents a function.

To use the vertical line test, take a ruler or other straight edge and draw a line parallel to the y-axis for any chosen value of x. If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function.