Transformations of the Reciprocal Function

Key Questions

  • What is a transformation?

    Answer:

    An element(point, line, plane or any other geometric, complex or whatever figure) is said to undergo a transformation when ever one or more of its properties are changed.

    Explanation:

    A transformation just a rule; its more like a function. It takes an object and returns that object's image.

    Transformations are done using: functions, matrices, complex numbers etc.

    What we call object can be a point, a line etc. The basic fact about all objects is that object haves properties.

    For example: The point #A(3,2)# has only the property of position(in a Cartesian coordinate system).

    Once you change point #A#'s position to let's say #B(6,4)# by a particular procedure, we say you have transformed point #A# to be point #B#.

    And in which case the object is #A(x,y)# and the image is #B(6,4)#

    Our transformation could be the matrix: #({:(2" "0),(2" "0):})#

    Proof : Because #({:(2" "0),(0" "2):})xx({:(3),(2):})=({:(6),(4):})#

    Antoine · 1 · Jul 23 2015
  • What is the graph of the reciprocal function?

    Answer:

    The basic reciprocal function is #1/x#

    Explanation:

    The graph looks like:
    graph{1/x [-10, 10, -5, 5]}

    MeneerNask · 1 · Jul 19 2015
  • What is the reciprocal function?

    The reciprocal function is:

    #f(x)=1/x#

    It's graph is as following:
    enter image source here
    This is an example of asymptote.

    Since #x# can take all values except #0# for #f(x)# to be defined,
    Domain: #R-{0}#, i.e., all real numbers except 0.
    Range: #R-{0}#, i.e., all real numbers except 0.

    Tanish J. · 1 · Oct 27 2014

Questions

Graphing Rational Functions