Chapter 1-4 Notes

Chapter 1-4 Notes - Page 1 of 2 Math 1332 - College...

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Page 1 of 2 Source: College Mathematics , Rockswold G., Bennett J., and Briggs W. C:/CLASES_COLEGIO/2007/NOTAS/0102/ 01/12/07 Math 1332 - College Mathematics Chapter 1-4 Notes Types of Functions and Their Rates of Change Linear Functions Constant function - A function f represented by f(x) = b , where b is a constant (fixed number). Ex: f(x) = 7 (see p.46) y x Linear function - A function f represented by f(x) = ax + b , where a and b are constants. Ex: f(x) = 60x + 30 (see p.47) y x Note --> every constant function is a linear function! Discrete function - when f is defined only at individual or discrete values of x (w/breaks). Continuous function - graph of f becomes continuous w/out breaks. Slope as a Rate of Change The graph of a (continuous) linear function is a line. Slope is a real number that measures the “tilt/steepness” of a line in the xy-plane. Slope – is m of the line passing through the points (x 1 ,y 1 ) and (x 2 ,y 2 ) m = y = y 2 - y 1 , where x 1 x 2 x x
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Chapter 1-4 Notes - Page 1 of 2 Math 1332 - College...

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