1AAddOrdinates


 * Combination Graphs**

Aim: To sketch a non-standard graph by breaking the function into parts and sketching each part seperately.

If we have two functions f(x) and g(x), we can produce a new graph by adding them together: y = f(x) + g(x).

To obtain the graph of the new function, we use a process called addition of ordinates.

This involves adding the y-values of the two original graphs for a sequence of x-values to gain a series of points that can then be joined with a smooth curve.

The sum function will only be defined for x values where both f(x) and g(x) are defined. So the domain of the sum function will be: domain(f + g) = domain(f) ∩ domain(g)

Rational Functions may need to be broken into separate terms before sketching.

Worksheet

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