# Calculus I reference formulas

School: Illinois Central College           Price: \$10.00 USD

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Calculus I reference SparkNotes.

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Illinois Central College
1 Calculus 4/14/03 4:08 PM Page 1SPARKCHARTSTMCALCULUS ISPARKCHARTSTMBACKGROUND AND FUNCTIONSCalculus is the study of nicesmoothly changingfunctions. Differential calculus studies how quickly functions arechanging at particular points. Integral calculus studies areas enclosed by curves. The Fundamental Theorem of Calculus connects the two.FUNCTIONSWHAT IS A FUNCTION?A function is a rule for churning out values: for every valueyou plug in, theres a unique value that comes out. The set of all the values that can be plugged in is the domain. The set of all the values that can be output is the range.CONSTANT FUNCTIONSHorizontal linesA constant function y = c has only one output value. Itsgraph is a horizontal line at height c.LINEAR FUNCTIONSStraight linesA linear function can be expressed in the easy-to-graphslope-intercept form y = mx + b, where b is they -intercept (the value of f (0)) and m is the slope. Theslope of a straight line measures how steep it is; if (x1 , y1 )and (x2 , y2 ) are two points on the line, then the slope isy2 y1change in y.=m=x2 x1change in xTYPESWRITING FUNCTIONS DOWN

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