MATH 10A Lecture Notes - Lecture 1: Farad
Document Summary
Def: a quantity y is a function of another quantity x, if knowing the value of x completely determines the value of y. The area of a square is a function of its side length. The time it takes to run a mile is a function of your speed. The number of students in this room born on a particular date is a function of that date. F means the rule for evaluating the function . Example: the function s=f(t) gives the annual average sea level (in meteres) in aberdeen, scotland t years before. Interpretation: average annual sea level in 1998 ; sea level was 7. 094m in 2008 . Example: the function s =g(t) gives the snowfall in minneapolis (in inches) on the tth day of dec 2010. Interpretation: the snowfall on dec 5 ; more snow fell on dec 11 than on dec 10 . Definition: the domain of a function is the possible input values.
