# day16 - G raphing S egment C urve S ketching C hecklist...

This preview shows pages 1–2. Sign up to view the full content.

2. Graphing Segment Curve Sketching Checklist Note: • 'd items are the only ones which apply t6'OiYnomial function"S) I. Information from the function f (x) itself: ~. Intercep~ B. Asymptotes 1. Vertical Asymptotes: x = a is a VA if lim f(x) = ±oo . z-+a 2. Horizontal Asymptotes: y = b is a HA if lim I(x) = b. z-+±oo C. Restrictions on the domain ("holes," excluded regions, etc.) and discontinuities. II. Information from the Derivative I'(x): • A. Horizontal Tangents: x -COOl' ma es 0 pomts where tangent line is horizontal are found by solving I' (x) = 0 . B. Vertical Tangents: x -coordinates are those values x = c for which I ( c) exists, but lim I'(x) = ±oo . z-+c • C. Intervals of Increase and Decrease: 1. I (x) is increasing on an lIlt.erva if I' (x) > 0 for all x in that interval. x is decreasing on an interval if f'(x) < 0 for all x in that interval. Local Maxima and Minima (1st derivative test): oca maximum at x = c if the sign of x is as shown for x near c: sign of I'(x)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 12/05/2011 for the course MATH 111 taught by Professor Bang during the Fall '08 term at Emory.

### Page1 / 5

day16 - G raphing S egment C urve S ketching C hecklist...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online