EFFECT OF INITIAL VALUE ON EXPONENTIAL GRAPH (C<0)
ConcepTest

Consider the general form of an exponential function,  

    or     ,    where .

If the initial value C becomes increasingly negative in value (i.e., as  increases while C remains negative), 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 k is a fixed value and that k=1.  (A similar analysis could be performed with k<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