Functions basically establish relationships between expressions. Many common Algebraic functions are expressed as functions of x:
f(x) = x2 + 4
Which could also be written as y = x2 + 4
However, this just scratches the tip of the universe. Not only do mathematical functions vary in complexity and offer an infinite number of possibilities, there are also programming functions. Programming functions are typically groups of commands that accept one or more parameters, then return one or more pieces of information.
The above Mathematical function can be re-written as a Perl programming function that accepts a value for x:
sub calculateFunction {
my ($x) = @_;
my $y = x**2 + 4;
return ($y);
}
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Y = X2 Is a parabolic function.
y = cuberoot(x) for real x is not a rational function.
No. A simple example of this is y = x2; the inverse is x = y2, which is not a function.
fundamental difference between a polynomial function and an exponential function?
An example of a wrong function equation is f(x) = sqrt(x) for all non-negative x.