MATH 1021 Chapter : Section 5 1a
Document Summary
Objective 1: understanding the characteristics of exponential functions. The constant, b, is called the base of the exponential function. An exponential function is a function of the form such that. Characteristics of exponential functions f x x b= where x is any real number and. 1b the exponential function with base b is defined by b= The graph of f x x f x x b= has one of the. The domain of f x x b= is ( , and the range is ( following two shapes y = is a horizontal asymptote. The line y = is a horizontal asymptote. Objective 2: sketching the graphs of exponential functions using transformations. The graph of f x = ( ) 3. 1x can be obtained by vertically shifting y = 3x the graph of y = down one unit. Objective 3: solving exponential equations by relating the bases x b=