MATH 1013 Lecture Notes - Lecture 3: Exponential Function
14 Nov 2016
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Sc/ math 1013 lecture #3 exponential functions. If a and b are positive numbers and x and y are any real numbers, then: bx+y= bxby, bx-y=bx/by, (bx)y=bxy, (ab)x=axbx. Let us simplify this expression using the law of exponents. b8(2b)4. = x3n-1/xn+2 (the numerator cannot further be simplified and so we further proceed by dividing the numerator by the denominator. When we divide, we subtract the exponents by the law of exponents) Exponential functions are functions of the sort y = bx. Examples of exponential functions are y= (1/3)x and y = 2x. As the name of the function gives off, the base remains the same and we vary the exponent of this function. A special exponential function, known as the natural exponential function is given by y= ex, which lies between the graphs of y=2x and y=3x. First let"s consider the property of a function being one to one.
