Mathematics for Chemistry/Plotting graphs
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The properties of graphs
The most basic relationship between two variables and is a straight line, a linear relationship.
The variable is the gradient and is a constant which gives the intercept. The equations can be more complex than this including higher powers of , such as
This is called a quadratic equation and it follows a shape called a parabola. High powers of can occur giving cubic, quartic and quintic equations. In general, as the power is increased, the line mapping the variables wiggles more, often cutting the -axis several times.
Plot between -3 and +2 in units of 1.
Plot between -4 and +1 in units of 1.
Plot between -5 and +4 in units of 1.