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# 1.2Post - 1.2 and 1.3 Functions Graphs and Exponential...

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1.2 and 1.3 Functions, Graphs, and Exponential Functions Compositions f ë g = f H g H x LL Æ The domain is the intersection of the domain of g H x L and the domain of simplified f H g H x LL g ë f = g H f H x LL Æ The domain is the intersection of the domain of f H x L and the domain of simplified g H f H x LL Rules for Exponents a x a y = a x + y a x ÄÄÄÄÄÄÄ a y = a x - y H a x L y = a xy a x b x = H ab L x J a ÄÄÄÄÄ b N x = a x ÄÄÄÄÄÄÄ b x Growth and Decay Equation y = ka x Half - Life y = k i k j j j j j j j j j i k j j j 1 ÄÄÄÄÄ 2 y { z z z t ÄÄÄÄÄÄÄÄ life y { z z z z z z z z z = k i k j j j j j j j j H 2 L - t ÄÄÄÄÄÄÄÄ life y { z z z z z z z z where k is the initial value Compound Interest Compounded n times per year Æ y = A i k j j j 1 + k ÄÄÄÄÄ n y { z z z tn A is initial value, k is the rate Compounded continuously Æ y = Ae kt A is initial value, k is the rate 1. Write a piecewise formula for the following function.

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1.2Post - 1.2 and 1.3 Functions Graphs and Exponential...

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