Draw graph of function by one of given actions


Graph of function f(x)=3^{x-4} can be attained from graph of g(x)=3^x by one of given actions:

(i) shifting  graph of g(x) to right 4 units;

(ii) shifting graph of g(x) to left 4 units;

(iii) shifting graph of g(x) upward 4 units;

(iv) shifting graph of g(x) downward 4 units;

(v ) reflecting graph of g(x) over x-axis;

(vi) reflecting graph of g(x) over y-axis.

Is domain of function f(x) still (-infty,infty)?

Range of function f(x) is (A, infty), where the value of A is?

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Mathematics: Draw graph of function by one of given actions
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