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Question

Graph the function. State the domain and range.

g(x)=4e3x+1g(x)=4e^{-3x}+1

Solution

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Answered 2 years ago
Answered 2 years ago
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The function g(x)=4e3xg(x) = 4e^{-3x} is in the form y=aerxy = ae^{rx} where in this case a=4a = 4 and r=3r = -3. Since aa is positive and rr is negative, the function is an exponential decay function. Plot the points (0, 4) and (1, 0.2) and draw the curve. Then translate up 1 unit to obtain the points (1, 4) and (2, 0.2) and draw the graph of the function g(x)=4e3x+1g(x) = 4e^{-3x} + 1

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