The function that is shown below is the graph of the given function [tex]y = log_{4}(x+3)[/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]y = log_{4}(x+3)[/tex]
For [tex]x = -2[/tex], [tex]y = log_{4}(-2+3) = log_{4}1 = 0[/tex]
For [tex]x = -1[/tex], [tex]y = log_{4}(-1+3) = log_{4}2 = 0.5[/tex]
For [tex]x = 0[/tex], [tex]y = log_{4}(0+3) = log_{4}3 = 0.793[/tex]
For [tex]x = 1[/tex], [tex]y = log_{4}(1+3) = log_{4}4 = 1[/tex]
For [tex]x = 2[/tex], [tex]y = log_{4}(2+3) = log_{4}5 = 1.161[/tex]
By putting the values of (x, y) in the graph, we get the graph of [tex]y = log_{4}(x+3)[/tex].
Learn more about a function here:
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