Relations and Functions

In this discussion, you will be assigned two equations where you will complete a variety of math work related to mathematical functions. Read the following instructions in order and view the example (available for download in your online classroom) to complete this discussion. Please complete the following problems according to your assigned number. (Instructors will assign each student their number.)

There are many ways to go about solving math problems. To solve this problem, you will be required to do some work that will not be included in the discussion point.

  • First, graph your functions so that you can clearly      describe the graphs in your post. Your graph itself is not required in      your post, although a 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.
  • 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.


    • Transformation

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.