In Algebra, we learn about functions of various types. These functions are often seen in a progression from least complicated (linear) to most complicated (piecewise with nonlinear parts). And then there are other types of functions in-between: exponential, quadratic, polynomial, radical, and logarithmic. But with all their differences and unique properties, these share a common trait of being functions that we can graph in a coordinate plane.

What are some other things you can observe to have that same quality of functions: unique, but sharing a common trait or purpose?

Question

Jonas Carr

Mathematics

27 March, 08:02

In Algebra, we learn about functions of various types. These functions are often seen in a progression from least complicated (linear) to most complicated (piecewise with nonlinear parts). And then there are other types of functions in-between: exponential, quadratic, polynomial, radical, and logarithmic. But with all their differences and unique properties, these share a common trait of being functions that we can graph in a coordinate plane.

What are some other things you can observe to have that same quality of functions: unique, but sharing a common trait or purpose?

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Answers (1)

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Jaliyah Cabrera · Answer 1

Following are some common traits that all the functions bear:

1) All the functions produce only one outcome for a given input. A function cannot produce more than one outcomes at a single input. In other words, for each value of x on its domain, function can will produce a distinct value of y.

2) Any vertical line drawn on the graph of a function will never meet the graph more than once.

3) A function cannot have more than one horizontal asymptotes. A function will have either no horizontal asymptote or just one asymptote.