MAT-261 Lecture Notes - Lecture 2: Exponentiation, Monomial, California State Route 1
Document Summary
5. 3 the natural exponential function notes: sterling. Provide a generalization to each of the key terms listed in this section. , a 6= 0 am an = am+n (am)n = am n = amn (ab)m = ambm (ambn)p = am pbn p = ampbnp am an. = am n a0 = 1 f (x) = cax. Initial value a : base a : p ositive real n umber (a > 0) a 6= 1. All real n umbers a : growth f actor f (0) = ca0 = c (1) = c. Then f (x) = c ax a > 0 a 6= 1 x : any real n umber f (x + 1) f (x) = a f (x + 1) = af (x) Range f (x) = ax a > 1. One to one (0, 1) (1, a) (cid:18) 1,
