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**Parts of graphs, and How to set up graphs**

GRAPHING Parts of graphs, and How to set up graphs

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We can graph RATES RATE generally equals change time

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**Graphs usually have 2 axes:**

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**Sometimes there is a 3rd axis**

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**Usually, we just use the part of the graph that deals with (+) numbers**

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**Suppose we wanted to graph a change over a period of time**

For example, something goes twice as fast every second that it accelerates… It is going 1 m per second (1 m/sec)… when we first see it, at second one, How fast is it going in 2 seconds?... RIGHT: 2 m/sec… How fast in 3 seconds?... RIGHT: 4 m/sec.

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**The data table looks like this:**

It relates time to speed, and It allows you to graph data points… Data points are (x,y) pairs, E.g. (1 sec = 1 m/s) is the same as (1,1).

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TIME AND SPEED Time varies – second 1, second 2, second 3, second 4, etc. Speed varies – 1 m/sec, 2 m/sec, 4 m/sec, 8 m/sec… Time changes, but we can’t change it. It is an independent variable… But we can change speed, so it is a dependent variable – it is dependent on how long it has been traveling (accelerating).

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**INDEPENDENT & DEPENDENT VARIABLES**

Usually, the independent variable goes on the x-axis… How many units should we use?... Always label the axis so that people know what the graph is telling them.

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**INDEPENDENT & DEPENDENT VARIABLES**

The dependent variable usually goes on the Y axis… Both axes often start with 0… We generally only need as many number points as we are going to measure.

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**Then we place our data points**

Your data points are (x,y) pairs, Plot only one set of data points at a time, Plot another data set after finishing the first set.

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**Finish the data points Connect each dot with a line…**

The line should show a trend if there is a relationship between the dependent & the independent variable.

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**There are other ways to display the information**

This graph represents the same data points, but is displayed in the form of bars, Informally, it is called a bar graph, Formally, it is called a histogram.

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**Can we add more data to the same graph?**

SURE!! Suppose we have another rate of increase of speed… 1 m/sec increase… How fast will it be going in 3 seconds?

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So, graph the data…

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**But shouldn’t everything be labeled?**

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