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?

Respuesta :

Somethings I can observe that have the same quality is that all functions only have one outcome for a given input. A vertical line will never meet the graph more than once. No X values are used more than once. A function will have either no horizontal asymptote or just one asymptote. These are some common traits that all functions have.

We can see that all functions have the one outcome for one value of x if we can see all the functions carefully.

What is a function?

A function is a relation in which each value of x corresponds to some value of y.

How to determine the features of a function?

When we see some functions, they have the same quality of giving one result for one  input. The quality of the graph of all functions is that the vertical line cannot meet the axis twice.

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