Question

Which o f the following points lies on the graph of the function y= 4^x
(1,0)
(4,1)
(2,16)
(-1,.05)

Answer 1

(2,16) , plug x=2 and u get correspondingly y=16.

Answer 2

\[4^1 = 4\]\[4^4=256\]\[4^2 = 16\]\[4^{-1} =\frac{1}{4}\] so it has to be (2,16)

Answer 3

since comupters were invented, computational speed has multipilied by a factor of 4 about every 3 years. if a typical computer operates with a computational speed s today, write an expression for the speed at which you can expect an equivalent computer to operate after x three year periods