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The graph of the function f(x)=5^x?9 can be obtained from the graph of g(x)=5^x

ID: 3189898 • Letter: T

Question

The graph of the function f(x)=5^x?9 can be obtained from the graph of g(x)=5^x by one of the following actions: (a) shifting the graph of g(x) to the right 9 units; (b) shifting the graph of g(x) to the left 9 units; (c) shifting the graph of g(x) upward 9 units; (d) shifting the graph of g(x) downward 9 units; (e) reflecting the graph of g(x) in the x-axis; (f) reflecting the graph of g(x) in the y-axis; Your answer is (input a, b, c, d, e, or f) Is the domain of the function f(x) still (??,?)? Your answer is (input Yes or No) The range of the function f(x) is (A,?), the value of A is

Explanation / Answer

I assume you mean y = 5x - 9

That's the graph of y = 5x shifted 9 units downward.

5x has domain (-, ) as does 5x - 9

The range of 5x is (0, )

However, the range of 5x - 9 is: (-9, )

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