Find the output values of the exponential function g (x) = 4,096x for x = 0, 0.25, 0.50, 0.75, and 1.

Question

Mathematics

Kenneth Fitzgerald

14 February, 17:51

Find the output values of the exponential function g (x) = 4,096x for x = 0, 0.25, 0.50, 0.75, and 1.

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Mclean · Answer 1

Hello,

g (x) = 4096^x

g (0) = 1

g (0.25) = (2^12) ^1/4=2^ (12/4) = 2^3=8

g (0.50) = (2^12) ^ (1/2) = 2^6=64

g (0.75) = (2^12) ^ (3/4) = 2^9=512

g (1) = 4096^1=4096