# What are the four ways to represent a function?

- Determine whether a relation
**represents a function**. - Find the value of a
**function**. - Determine whether a
**function**is one-to-one. - Use the vertical line test to identify
**functions**. - Graph the
**functions**listed in the library of**functions**.

Keeping this in consideration, what are the ways to represent a function?

**Key Points**

- A function can be represented verbally. For example, the circumference of a square is four times one of its sides.
- A function can be represented algebraically. For example, 3x+6 3 x + 6 .
- A function can be represented numerically.
- A function can be represented graphically.

Likewise, what are the three ways you can describe a function? This rule says that **functions** should be described **three ways**: symbolically, graphically and numerically. As **you** investigate **functions** from each of these **three** perspectives and see how the **three** representations are connected, **you will** gain a deeper understanding of the important mathematical concept of **function**.

Likewise, people ask, what are the five representations of a function?

**5 representations of a function**: Graph, Table, Symbols, Words, & Picture/context. A recursive relationship represents the slope of the line in the equation.

How can you tell if a relationship is a function?

**How To: Given a relationship between two quantities, determine whether the relationship is a function.**

- Identify the input values.
- Identify the output values.
- If each input value leads to only one output value, classify the relationship as a function.