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Exponential Functions

Exponential Functions 1.17 - Solution

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a

The exponential function crosses the -axis at the initial value and is decreasing because the base us a decay factor of The graph of this exponential function must be graph C. Read the function's value when in the graph.

The function's value is approximately equal to 200 when .

b

The exponential function cut the -axis at and is also decreasing because it has a decay factor, of The graph to this exponential function must be D.

The value is read to about 70 when .

c

The exponential function

cut the -axis at = 400 and is growing because it has a growth factor is greater than which is graph B.

The function's value looks to be approximately when .