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## How do you know if a function is bounded above or below?

**Being bounded from above means that there is a horizontal line such that the graph of the function lies below this line**. Bounded from below means that the graph lies above some horizontal line. Being bounded means that one can enclose the whole graph between two horizontal lines.

## What are the 4 types of functions?

The types of functions can be broadly classified into four types. Based on Element: **One to one Function, many to one function, onto function, one to one and onto function, into function**.

## How do you tell if a function is odd or even?

You may be asked to “determine algebraically” whether a function is even or odd. To do this, you take the function and plug x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (x) = f (x), so all of the signs are the same), then the function is even.

## below(of functions)

## What is a closed domain?

A closed domain system, also known as domain-specific, **focuses on a particular set of topics and has limited responses based on the business problem**. For example, a pizza delivery chatbot can only help you place, track, or cancel an order.

## How do you know if a graph is below a function?

**Inspect the graph to see if any vertical line drawn would intersect the curve more than once**. If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.