How do you write exponential function for a graph that includes given points (4,8) (6,32)?

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Answer 1 · 2016-12-03T04:48:25

Please see the explanation.

#y(4) = 8 = a(b^4)#
#y(6) = 32 = a(b^6)#

#32/8 = a(b^6)/a(b^4)#

#4 = b^2#

#b = 2#

#y(4) = 8 = a(2^4)#

#8 = a(2^4)#

#a = 1/2#

#y = 1/2(2^x)#

#y = (2^-1)(2^x)#

#y = 2^(x -1)#