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The exponential graph function with base b is defined by1) graph crosses the y-axis at (0,1)

2) when b > 1, the graph increases

3) when 0 < b < 1, the graph decreases

4) the domain is all real numbers

5) the range is all positive real numbers (never zero)

6) graph passes the vertical line test ---> it is a function

7) graph passes the horizontal line test ----> its inverse is also a function.

8) graph is asymptotic to the x-axis -----> gets very, very close to the x-axis but does not touch it or cross it.

1) y = b

2) y = - b

3) y = b

4) y = b

first draw a graph of y = b

5) y = b

The function is defined by f(x) = e

The inverse of the exponential function is the Logarithmic function.

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