First Semester, Blog 2

10/2/2012

9 Comments

 
     One of the goals of the math department is that students have opportunities to sharpen their writing skills.  This blog is one avenue towards that goal.  So far this year, a lot of new math vocabulary words and new concepts have been introduced.  For this post, compare the graph of a function and a graph of a relation.  What are the similarities and differences?  When would each be used?  Please be detailed.
9 Comments
Megan Ellis
10/3/2012 11:28:18 am

The graph of a relation is basically all the points on a coordinate plane that show how x is related to the y. This means you simply have to graph different points and show relationships between information. There is an infinite amount of possibilities. An example could simply by plotting sets of order pairs like (1,2) and (4,8).

The graph of a function is also an assembly of all the ordered pairs. In the function, a person can solve for y. A function can be tested by using the vertical line test. With this test you can prove a graph is a function by sending a vertical line through any point of the graph and having it only hit the line at at any given point only once. That proves that the x coordinate will be different for every ordered pair will only be used once in the set.

So the main difference between the graph of a relation and a graph of a function is the fact that the graph of a function will have only one output for their input.

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Caitlin Weeks
10/4/2012 02:44:47 am

The graph of a function is based on an equation which can be solved for the value of y. To figure out if a graph is a function or not, you can use the vertical line test. If you place a vertical line over the graph and the line touches the graph at more than one point, then the graph is not a function. On the other hand, the graph of a relation is basically a relationship between sets of ordered pairs, the x-values being “the domain” and the y-values being the “the range”. They can be used to find the relationship between sets of information.

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Bailey Dixon
10/4/2012 01:15:01 pm

The graph of a relation and a function have similarities and differences. The graph of a relation is a graph of two related set of ordered pairs. For example, you could graph the pairs (1,2) and (3,4). Then you would be able to figure out the relationship between these two pairs by using your graph, where the x-values are the domain and the y-values the range.

The graph of a function is a lot like a relation, except in this one the equation can be solved for y. The point of graphing the function is to see if it actually is a function or not. You can easily do this by performing the vertical line test, which is when you draw a vertical line across the graph, and if you touch the graphed line more than once, the equation is not a function.

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michael
10/8/2012 12:55:22 am

Graph of a relation is when you graph two points and graph of a function is when you are using Y=mx+b and the thing that is similar about these two are that they both deal with lines and graphing.

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Katie
10/9/2012 11:47:38 am

Graphs for relations and similarities are different. The graph of a relation is a graph of two related sets of coordinates, or ordered pairs. In the graph of a relation the equation can be solved for Y.

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Jayce Finnell
10/9/2012 11:33:20 pm

In a graph of a relation is a graph between two related ordered pairs and is meant to show that relation in a graph and there can be infinite possibilities for what numbers they are. The graph of a function can be solved for Y. Graphs of functions can also be tested to see if they are actually functions by using the vertical line test. The Vertical line test will prove that it is a function by placing a vertical line through the graph and the line only hits a single part of the line. If it hits the line more than once, the graph is not a function.

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Travis Thornburgh
10/11/2012 01:20:02 am

The graph of a relation is any group of ordered pairs or numbers that are represented on a graph. These points can be anywhere on the graph and don't necessarily have to be related. The graph of a function is also a group of ordered pairs, but for a function to exist, the graph must pass the vertical line test. This, in essence, means that no ordered pair can share the same X value at any point on the graph. If the same X value is repeated, the graph is not a function.

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Rachael
10/16/2012 05:31:52 am

The graph of a relation could essentially be anything. Any number of ordered pairs could be plotted anywhere on a graph, and it is called a relation because it shows the relationship between the x- and y- coordinates.

The graph of a function also contains ordered pairs, but the pairs must follow a pattern. For a function to exist, all points on the function must have different domains. This can be tested with the vertical line test. For a function to pass the vertical line test, you must be able to draw vertical lines all the way throughout the function with the lines only hitting a single point on the function. If the vertical line hits two points on the line, then it is not a function.

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Tyler
10/17/2012 09:40:56 am

I've found that the graph of a function is the set of all points whose coordinates are x, f(x), which means that if you graph two points, you will get a curve or a line because they are ordered. The graph of a relation is the two points that you graph that are un-ordered and can be anywhere. They both give you information based on the points in the graph.

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