EFFECT OF PROPORTIONALITY CONSTANT ON EXPONENTIAL GRAPH (k>0)							Question of the Day

Consider the general form of an exponential function,  

    or     ,    where .

Part 1
If the proportionality constant, k, is increased in value, how will this increase affect the position of the y-intercept of the function?  How will it affect the position of the graph?

For the sake of simplicity, you may assume that C is a fixed value and that C=1.  (A similar analysis could be performed with C<0.)

1.	 The new y-intercept will be:

CIRCLE ONE:

A.	 LOWER THAN THE ORIGINAL Y-INTERCEPT

B.  SAME POSITION AS THE ORIGINAL Y-INTERCEPT

C.  HIGHER THAN THE ORIGINAL Y-INTERCEPT

2.	 The new position of the graph will be:

CIRCLE ONE:

A.	1ST AND 2ND QUADRANTS, TAIL TO THE LEFT

B.  1ST AND 2ND QUADRANTS, TAIL TO THE RIGHT

      C.  3RD AND 4TH QUADRANTS, TAIL TO THE LEFT

      D.  3RD AND 4TH QUADRANTS, TAIL TO THE RIGHT

After making your decision concerning the possible answer choices, please discuss your conjectures with your nearest neighbor and explain to each other the underlying reasoning.  You don’t necessarily have to agree with each other’s assessments, but do have a candid discussion; you are free to change your initial reasoning in light of your neighbor’s explanations.

Part 2
Afterwards, please record your conjectures and reasoning in written form; a single paragraph will be sufficient.