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Step-by-step explanation:

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We know that the graph of f(x) = 100(.07)^x is that of a decaying exponential because the common ratio (0.07) is between 0 and 1.  When x = 0, the value of this function is f(0) = 100(.07)^0, or (0, 100) (initial value).  Starting in the far upper left hand corner of Quadrant II, draw a rapidly decreasing curve through the y-intercept (0, 100) and continue in an increasingly gentle curve into Quadrant I.  The x-axis is the horizontal asymptote of this graph.  The graph never touches the x-axis and never becomes negative.