Use the vertical line test to determine whether or not the graph is a graph of a function. Mark true for a function or false for not a function.
If you were to make a small graph with a point at (0,-5) and another at (2,5) and draw a line between them how would you answer the question? True or False? Please explain why if you can. Thanks.
2006-11-26 07:06:51 · 8 answers · asked by crazylifer 3 in Science & Mathematics ➔ Mathematics
Yes it is a function because by the verticle line test it only intersects that line at 1 point.
It is a pretty simple test. if a verticle line hits the graph at more than 1 point it is not a function.
2006-11-26 07:09:57 · answer #1 · answered by travis R 4 · 0⤊ 0⤋
Just plot the two points on a graph and join them. You should notice that for every x value, there's only one corresponding y value. In other words, if you were to take a vertical line and move it across the function, at no time would you have more than 1 point touching the vertical line. The graph gives you a linear function.
You can also find the equation for the graph which is y = 5x -5
That's a linear function, as I said, and linear functions are all functions except in the case of a verical line (i.e., x = whatever)
2006-11-26 07:12:25 · answer #2 · answered by my nickname 2 · 0⤊ 0⤋
Well, the two points have the same x-value, right? So the line you draw between them would be horizontal, right? Therefore it could be a function.
Again, if you think of a function as a machine, the one single most important thing about the machine is that, no matter what you put into the machine, you get only one thing out.
The two points given are equivalent to saying:
f(0) = -5
f(2) = -5
That's allowed. You are allowed to get the same output for two different inputs.
What's not allowed is something like
f(1) = 5, i.e the point (1,5)
f(1) = -5, i.e. the point (1,-5)
That's getting two different things out when you only put one thing in. That's NOT a function.
2006-11-26 07:14:10 · answer #3 · answered by Jim Burnell 6 · 0⤊ 0⤋
Nope x=0 is a vertical line so it will have more then one y value for an x value. So it would not pass the line test.
2016-05-23 05:04:45 · answer #4 · answered by Anonymous · 0⤊ 0⤋
it is a function, the vertical line wouldnt touch two points at once
2006-11-26 07:09:56 · answer #5 · answered by molly c 3 · 0⤊ 0⤋
you will get the graph of a straight line of the type y=mx+b
2006-11-26 07:09:50 · answer #6 · answered by raj 7 · 0⤊ 0⤋
true...wen a verticallt line passes through it never hits two points at once....
2006-11-26 07:10:26 · answer #7 · answered by barbrat27 2 · 0⤊ 0⤋