Write an exponential function [tex]y=a b^x[/tex] for a graph that includes (-4,72) and (-2,18).
[tex]f(x)=0.5(4.5)^x[/tex]
[tex]f(x)=4(0.2)^x[/tex]
[tex]f(x)=2(4)^x[/tex]
[tex]f(x)=4.5(0.5)^x[/tex]
Answer (2)
f ( x ) = 4.5 ( 0.5 ) x ;
To create an exponential function that passes through the points (-4, 72) and (-2, 18), we find that the function is y = 72 ⋅ 2 x . This is derived by solving two equations using the given points and eliminating one variable to find the parameters a and b . The final result reflects the exponential growth defined by the provided coordinates.
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