What are the characteristics of a exponential function

A GENERAL NOTE: CHARACTERISTICS OF THE GRAPH OF THE PARENT FUNCTION

-It’s a one-to-one function

-The graph passes through y-intercept of the point (0,1)

-x-intercept: none

-The domain is all real numbers: (−∞,∞)

-The range is y > 0 or (0,∞)

-The graph is increasing

-The graph is asymptotic to the x-axis as x approaches negative infinity

-Horizontal asymptote: y=0

-The graph increases without bound as x approaches positive infinity

-Increasing if b > 1

-Decreasing if b < 1

-The graph is continuous

-The graph is smooth

Hope this helps! :)

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