MATH 2A Study Guide - Fall 2018, Comprehensive Midterm Notes - Graph Of A Function, Integer, Transcendentals
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MATH 2A Full Course Notes
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A is called the base and a > 0. A n = a * a * a. Rules of exponents: a x+y = a x * a y : adding exponents is the same as multiplying the exponential functions, a x-y = a x / a y : subtracting exponents is the same as dividing the exponential functions, a xy = (a x ) y. Domain: all real numbers (- , ) A x is not equal to 0 and is not negative https://prep. math. lsa. umich. edu/cgi-bin/pmc/crtopic?sxn=14&top=1&crssxn=prep a>1. The base graph is being reflected on the y-axis. Example: find the exponential function whose graph passes through (1,6) and (3,24) f(1) = 6 f(3) =24 y = f(x) = ca x. * a 3 = 24 c* a 3 = 24. A 2 = 4 a=2, c = 3 so f(x) = 3 * 2 x. Slopes of tangent lines at (0,1) to exponential graph will cover all possible values.
