A non-linear function is a mathematical function in which the change of the output is not proportional to the change of the input, often resulting in curves when graphed. These functions are crucial in modeling complex real-world phenomena where relationships between variables are not straightforward or proportional.

Non-linear Function

non-linear function

A mathematical function is a relation that uniquely associates each element of a set with exactly one element of another set, often expressed as f(x) = y, where x is the input and y is the output. Functions are fundamental in mathematics as they describe the dependence of one quantity on another, allowing for precise modeling of real-world phenomena and abstract concepts.

mathematical function

change of the output

change of the input

curves when graphed

modeling complex real-world phenomena

Sometimes, things can change together, like how when it gets colder, we wear more clothes. We call these things 'variables', and when one changes, it might make another change too.

relationships between variables

not straightforward

A proportional relationship is a relationship between two quantities where their ratio remains constant. This means that as one quantity changes, the other changes in a way that the ratio of the two quantities is always the same.

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