Monday, October 22, 2012

Questions/Muddy points for Chapter 2

Please comment on this post using the link below.

Write a question or concern you currently have regarding any of the material we've covered so far. 

20 comments:

  1. How to determine when you will have imaginary solutions on a graph.

    ReplyDelete
  2. Determining the domain of a function in the classic "write ... as a function of x" problems.

    -Adam Peirce

    ReplyDelete
  3. How to figure out the notation of a function by looking at a graph

    ReplyDelete
  4. This comment has been removed by the author.

    ReplyDelete
  5. What happens when a constant like "2" is added or subtracted to all of a rational function? Is it the same as what happens when it is added/subtracted to a quadratic function in standard form?

    ReplyDelete
    Replies
    1. Basically, yes. However, if you'd like to use all the ideas we've developed about the numerator and denominator of rational functions, you might be better off getting a common denominator and combining the fractions.

      Delete
  6. How do you write an equation for a rational function when given the asymptotes and if it passes through a certain point?

    ReplyDelete
  7. How would one determine where (if any) imaginary solutions are placed in a graph?

    ReplyDelete
  8. I'm super confused about using asymptotes to write an equation. Sometimes i understand what is going on and other times i get knocked down by confusion. Help!

    ReplyDelete
  9. How can graphs have asymptotes and then cross them? They do but I don't understand why.

    ReplyDelete
    Replies
    1. It's just the horizontal asymptote that can be crossed. The graph of a function will never intersect its vertical asymptotes. The horizontal asymptotes are related to end behavior, so really only come into play when the value of x is very large. As such, when the value of x is relatively small (i.e., the middle of the graph), the horizontal asymptote is irrelevant.

      Delete
  10. Do graphs ever cross the horizontal and vertical asymptotes or is that not possible?

    ReplyDelete
    Replies
    1. See my reply to Julia's post, just above yours.

      Delete
  11. What happens when the 90% truth about having the graphs doing the opposite actions with each other inst true. What would be an example of an equation?

    ReplyDelete
    Replies
    1. The only exceptions are when there is a zero of multiplicity two in the denominator. When that happens, the graph will go the same direction on both sides of the vertical asymptote that came from the repeated factor.

      Delete
  12. When looking at a graph, how can you determine the number of imaginary zeros at a given point?

    ReplyDelete
  13. I can't understand very well the end behavior and the reason why a graph can intersect horizontal asymptotes and not vertical ones.

    ReplyDelete
  14. What changes the horizontal asymptote?

    ReplyDelete
  15. I dont understand how to get the answer of a complex number that is in fraction form. For example, (2-2i)/(3+4i). I just don't know how to go about solving a problem like that.

    ReplyDelete
  16. how do you find the slant asymptote of an equation?

    ReplyDelete