## Which set is a function?

A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. An equation that produces such a set of ordered pairs defines a function.

## WHAT IS function and its types?

1. Injective (One-to-One) Functions: A function in which one element of Domain Set is connected to one element of Co-Domain Set. 2. Surjective (Onto) Functions: A function in which every element of Co-Domain Set has one pre-image.

**How do you determine if a table represents a function?**

How To: Given a table of input and output values, determine whether the table represents a function.

- Identify the input and output values.
- Check to see if each input value is paired with only one output value. If so, the table represents a function.

**How do you start to describe a graph?**

Describing language of a graph

- UP: increase / rise / grow / went up / soar / double / multiply / climb / exceed /
- DOWN: decrease / drop / fall / decline / plummet / halve / depreciate / plunge.
- UP & DOWN: fluctuate / undulated / dip /
- SAME: stable (stabilised) / levelled off / remained constant or steady / consistent.

### What is a function on a table?

Lesson Summary. A function is a rule that assigns a set of inputs to a set of outputs in such a way that each input has a unique output. A function table in math is a table that describes a function by displaying inputs and corresponding outputs in tabular form.

### How do you describe the trend of a graph?

A trend is the general direction in which something is developing or changing over time. A projection is a prediction of future change. Trends and projections are usually illustrated using line graphs in which the horizontal axis represents time.

**What is not a function example?**

Vertical lines are not functions. The equations y=±√x and x2+y2=9 are examples of non-functions because there is at least one x-value with two or more y-values.

**How do you describe a function on a graph?**

Defining the Graph of a Function. The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function if a special case of the graph of an equation.

#### What qualifies a function?

A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

#### How do you determine if something is a function?

Determining whether a relation is a function on a graph is relatively easy by using the vertical line test. If a vertical line crosses the relation on the graph only once in all locations, the relation is a function. However, if a vertical line crosses the relation more than once, the relation is not a function.

**How do you tell if it’s a function on a table?**

You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain is matched with exactly one element in the range. If so, you have a function! Watch this tutorial to see how you can determine if a relation is a function.

**How do I describe a graph?**

Adverbs: dramatically, rapidly, hugely, massive, sharply, steeply, considerably, substantially, significantly, slightly, minimally, markedly. There is also a list of adverbs to describe the speed of a change: rapidly, quickly, swiftly, suddenly, steadily, gradually, slowly.