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21 April, 20:05

Graphing Natural Exponential Functions In Exercise, sketch the graph of the function.

f (x) = 1 - ex

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  1. 21 April, 23:05
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    Step-by-step explanation:

    Graph: f (x) = 1 - ex

    You meant f (x) = 1 - e^x, where ^ represents exponentiation.

    First, graph the parent function y = e^x. The y-intercept of this graph is (0, 1), and the x-axis is the horizontal intercept. The graph begins on the left in Quadrant 2 and continues upward in Quadrant 1.

    Next, reflect this graph in the x-axis, due to the - sign in f (x) = 1 - e^x. The y-intercept is (0, - 1) and the horizontal asymptote is the x-axis.

    Finally, translate the whole graph upward by 1 unit.
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