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Algebra real numbers, formulas, linear and quadratic functions, exponent properties, products and factoring

Functions of Higher Degree

Consider the function consisting of all ordered pairs of real numbers (x, y) such that

y = x3 [say "y is equal to x cubed"]

The expression 'x3' is a shorthand notation for

x - x - x

Some ordered pairs that belong to this function are:

(0, 0), (+1, +1), (-1, -1), (+2, +8), (-2, -8)

This function is an example of a third degree function:





The function consisting of the set of all ordered pairs of real numbers (x, y) such that

y = x4 [say "y is equal to x to the fourth"]

is an example of a fourth degree function. The expression 'x4' is, of course, a shorthand notation for

x - x - x - x

Some ordered pairs that belong to this function are:

(0, 0), (+1, +1), (-1, +1), (+2, +16), (-2, +16)

You might find it interesting to draw a graph of this function.



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