# Study Sheet - Midterm 1 (Functions, Limits, Asymptotes & Continuity) Questiions

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1Study Sheet(midterm I)1.1Some formulas:distance formula:The distancedbetween (x1, y1),(x2, y2) isd=p(x1-x2)2+ (y1-y2)2midpoint formula:The midpoint of (x1, y1),(x2, y2) is ((x1+x22,y1+y22)Formula of a circle:The formula of a circle centered at (a, b) with radiusris(x-a)2+ (y-b)2=r2point-slope form of a line: The formula of a line going through (x1, y1)with slopemisy-y1=m(x-x1)slope-intercept form of a line: The formula of a line with a slopemandy-intercept (0, b) isy=mx+bslope of a line: The slope of a line going through (x1, y1),(x2, y2) ism=y1-y2x1-x2Parallel and perpendicular lines:(1) Two distinct nonvertical lines are parallel if and only if their slopes areequal, saym1=m2.(2) Two nonvertical lines are perpendicular if and only if their slopes satisfym1m2=-1x- and y- intercept:The x-intercepts off(x) are points in the form of(c,0), wheref(c) = 0.The y-intercepts off(x) are points in the form of(0, b), whereb=f(0).Exercises:(1):Find the x- and y- intercept ofy=x29-x2.(2):Find the formula of a circle centered at (2,3) with radius 5.

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Term
Fall
Professor
GRAVNER
Tags
Mathematical analysis, Continuous function, Limit of a function
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