MATH 2A Lecture 4: MATH 2A - Lecture 4 - Exponential Functions
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Math 2a - lecture 4 - exponential functions. We previously defined a function in the form of variable). Do not confuse exponential functions with power functions ( independent variable appears in the base, not the exponent) = ax (it means, multiply a by itself x times) (x factors) = ax = a a a . A f (x) (x) (x) f f (x being the independent f (x) Depending on the value of a we can get these three forms b) y = 1x y = ax > 1. Laws of exponents: ax+y = ax ay ax = a a . A ay = a a . A ax ay = ( a . Means that a is being multiplied by itself x+y times x times y times. Following the similar logic, (a a a) ax ay = (a a a) denominator cancel out each other ay.