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Introduction to graphs

A simple way to represent a function is by drawing its graph. For each input $$\Tblue{x}$$ on the horizontal axis, called the $$x$$-axis, we plot the corresponding output $$\Torange{y}=f(x)$$ are on the vertical axis, called the $$y$$-axis.

The graph of a function gives its value for each possible input. Here, $$f(\Tblue{2}) = \Torange{4}$$
The graph of a function gives its value for each possible input. Here, $$f(\Tblue{2}) = \Torange{4}$$

The graph is a two-dimensional representation of the input / output table associated with a function.

x -2 -1 0 1 2 3 4
f(x) -7 -5 -3 -1 1 3 5
The function $$\Torange{y} = 2 \Tblue{x} -3$$ and its graph
The function $$\Torange{y} = 2 \Tblue{x} -3$$ and its graph