## MAT 222 Week 5 DQ 1

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**Week 5 DQ1**

**Relations and Functions**

In this discussion, you will be assigned two equations with which you will then do a variety of math work having to do with mathematical functions. Read the following instructions in order and view theexampleto complete this discussion:

- Find your two equations in the list below based on the last letter of your last name.

If the last letter of your last name is |
On pages 708 – 711, solve the following problems |

A or B | 22 and 30 |

C or D | 24 and 32 |

E or F | 26 and 34 |

G or H | 28 and 36 |

I or J | 12 and 46 |

K or L | 14 and 48 |

M or N | 16 and 50 |

O or P | 18 and 52 |

Q or R | 20 and 54 |

S or T | 2 and 56 |

U or V | 4 and 58 |

W or X | 6 and 60 |

Y or Z | 8 and 64 |

- There are many ways to go about solving math problems. For this assignment you will be required to do some work that will not be included in the discussion. First, you need to graph your functions so you can clearly describe the graphs in your discussion. Your graph itself is not required in your post, although the discussion of the graph is required. Make sure you have at least five points for each equation to graph. Show all math work for finding the points.
- Specifically mention any key points on the graphs, including intercepts, vertex, or start/end points. (Points with decimal values need not be listed, as they might be found in a square root function. Stick to integer value points.)
- Discuss the general shape and location of each of your graphs.
- State the domain and range for each of your equations. Write them in interval notation.
- State whether each of the equations is a function or not giving your reasons for the answer.
- Select one of your graphs and assume it has been shifted three units upward and four units to the left. Discuss how this transformation affects the equation by rewriting the equation to incorporate those numbers.
- Incorporate the following five math vocabulary words into your discussion. Use
**bold**font to emphasize the words in your writing (**Do not write definitions for the words; use them appropriately in sentences describing the thought behind your math work**.): - Function
- Relation
- Domain
- Range
- Transportation

Your initial post should be at least 250 words in length. Support your claims with examples from required material(s) and/or other scholarly resources, and properly cite any references. Respond to at least two of your classmates’ posts by Day 7.