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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 1, Problem 2RCC

To determine

**To discuss:** Four ways of representing a function with the related examples.

Expert Solution

**Solution:**

There are four ways to represent a function which are:

i) Verbally

ii) Numerically

iii) Visually

iv) Algebraically

There are four ways to represent a function which are:

i) Verbally

ii) Numerically

iii) Visually

iv) Algebraically

Example of each way is discussed below.

**i) Verbally:** Describing a function in words is called representing verbally. To find the area of the square multiply the side length of a square by the side length itself. That is the square of the measure of the side length.

**ii) Numerically:** Representing a function through a table of values is called representing numerically. The following table shows the area of the square corresponding to the side length.

Side length (a) |
Area (A) |

1 | 1 |

2 | 4 |

3.2 | 10.24 |

4.8 | 23.04 |

5 | 25 |

6.1 | 37.21 |

10 | 100 |

**iii) Visually:** A function can be represented visually as shown below in Figure 1.

Note that the above table is represented visually.

**iv) Algebraically:** Representing a function through a formula is called representing algebraically. To area (*A*) of the square of side length *a* can be obtained by the following formula