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The main properties of exponential functions are a y-intercept, a horizontal asymptote, a domain (x-values at which the function exists) of all real numbers, and a constant growth factor, b.
Exponential functions can grow or decay very quickly. Exponential functions are often used to model things in the real world, such as populations, radioactive materials, and compound interest.
Common examples of exponential functions are functions that have a base number greater than one and an exponent that is a variable. One such example is y=2^x. Another example is y=e^x.
Exponent Rules Chart Name of Exponent RulesRule Quotient Rule am/an = am-n Negative Exponents Rule a-m = 1/am; (a/b)-m = (b/a)m Power of a Power Rule (am)n = amn Power of a Product Rule (ab)m = ambm4 more rows
Some examples of exponential functions are: f(x) = 2. x+3 f(x) = 2. x f(x) = 3e. 2x f(x) = (1/ 2)x = 2. -x f(x) = 0.5. x
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