Answer this math question please?

In mathematics, a continuous function is a function for which, intuitively, small changes in the input result in small changes in the output. Otherwise, a function is said to be discontinuous.

An intuitive though imprecise (and inexact) idea of continuity is given by the common statement that a continuous function is a function whose graph can be drawn without lifting the chalk from the blackboard.

continuity is easiest to understand in graphical form. basically in a function there may be certain values that result in mathematical impossibilities. ie. a zero as the denominator.

continuous function would be something like y=x2 (x squared)

this results in a function where any x value will produce a valid y value

however in y= x/(x-1)

if x = 1 the denominator is 0 which cannot exist.

so on that coordinate you would circle it and chart the graph normally for the rest of the values.

It means that if you graph it, it forms one single continuous line from x=negative infinity to infinity.

Examples:

y=x

y=x^2

y=3

Example of non-continuos function:

y=1/x. Not continuous because it breaks at x=0