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Answer :

Given the function;

[tex]f(x)=-x^2+4x-3[/tex]

We are asked to find the domain of the function.

[tex]The\: domain\: of\: a\: function\: is\: the\: set\: of\: input\: or\: argument\: values\: for\: which\: the\: function\: is\: real\: and\: defined[/tex]

Looking at the function and the given graph, we can see that function does not have any domain constraints.

Therefore, the domain using interval notation is

Answer:

[tex](-\infty,\infty)[/tex]

From the graph, we can get the range as

Answer:

[tex](-\infty,1\rbrack[/tex]