Raymond B. answered • 08/05/25
Math, microeconomics or criminal justice
f(1) = 16 = (1/2)(f(0)
f(0)=2x16 = 32
graphically f(x) = y and 2 points are (1,16)=(1, 2^4) & (0,32)=(0, 2^5)
3rd point is (2, 2^3)=(2,8)
more points (3, 4), (4, 2), (5,1). (6,2^-1), (7, 2,^-2),... (n, 2^(5-n)), .....(n, f(n)), ...
other points are (-1, 64), (-2, 128), (-3, 2^8), (-4, 2^9), (-5, 2^10),...(n, 2^(5-n)),...
draw a smooth line through them
it is curved downward sloping with decreasing slope and has a horizontal asymptote y=0, the x axis
slope approaches zero as y approaches zero, as x approaches +infinity
it's an exponential function y= 2^(5-x) or f(n)=2^(5-n) plotting n on the x axis and f(n) on the y axis
which transformed is a reflection in logarithmic form
