Understanding the Characteristics of Exponential Functions: f(x) = a^x for Positive Constant ‘a’

the function give by f(x)=a^x, where a>0 and a≠ 1

exponential function

The function given by f(x) = a^x is an exponential function, where the base ‘a’ is a positive constant and not equal to 1. Here are some important characteristics of this function:

1. Domain: The function is defined for all real values of x.

2. Range: The range of this function is (0, ∞) if a>1 and (0, 1) if 01, and strictly decreasing if 01, then the function approaches this asymptote from above as x → -∞, and from below as x → +∞. If 01, then the function represents exponential growth, where the value of the function increases expontentially as x increases. If 0More Answers: How to Calculate Compound Interest: A Step-by-Step Guide with Formula and Examples
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