Graph-C represents the given function [tex]f(x) = 4(0.5)^{x}[/tex].
What is a function?
"A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function."
The given function is:
[tex]f(x) = 4(0.5)^{x}[/tex]
Clearly, the given function is an exponential function.
By putting the value of [tex]x = 0, 1, 2, 3,.....[/tex]
[tex]f(x) = 4(0.5)^{0} = 4[/tex]
[tex]f(x) = 4(0.5)^{1} = 2[/tex]
[tex]f(x) = 4(0.5)^{2} = 1[/tex]
[tex]f(x) = 4(0.5)^{3} = 0.5[/tex]
By plotting the points, we get graph-C
Learn more about a function here: https://brainly.com/question/12163299
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