Lesson Graphing Lines, Parabolas, Circles, Functions, Domain, Range

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This Lesson (Graphing Lines, Parabolas, Circles, Functions, Domain, Range) was created by by rapaljer(4670)  : View Source, Show
About rapaljer: Retired Professor of Mathematics from Seminole State College of Florida after 36 years.

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 COLLEGE ALGEBRA EXAM 2 DG   NAME ____________ More FREE help available from my website at  SHOW ALL WORK ON THIS TEST OR ON SEPARATE PAPER. Circle answers. TURN IN ALL WORKSHEETS. CALCULATORS ARE REQUIRED ON THIS TEST. 1. Given the points (-3, 5) and (-1, -3), find:     a)  midpoint                            b)  slope                                c) distance     2.  Find the equation (in y = mx + b form)          3. Sketch the graphs of         a)      of  the  perpendicular bisector of       (-3, 5) and (-1, -3).                                                  b)                   c)       [Hint: use results of #1.]                                                                         3a)   b)   c)                           In 4 - 5, use the graphing calculator or completing the square method to find the vertex and sketch the graph.  (Outline calculator steps!)    4.   y = 2x2 + 8 x - 5                                             5.   x = -y2 + 8y - 5                                                                                 6. Find the center and radius by completing the square.  Sketch.             x 2 + y 2 + 4x – 10y - 7 = 0                                                                      7. Let                                8.   Let  and           a) f(-3) =                                                 a)   find f[g(x)] and simplify.         b) f(3) =        c) f(4x-7) =                                              b)   find g[f(x)] and simplify.        9.  Find the domain (give interval notation when appropriate).  Use graphing calculator for c).     a)            b)             c)             d)           10.  Given the equation   xy = 4y +  4                 11.  Given the graph:                                                                                                                        a) Domain:                                                           a) Domain:        b) Range:                                                             b) Range:        c) Function?                                                         c) Function?   12.  Let f(x) = 2 x + 3   and   g(x) = x 2 - 4 x - 6        a)  (f + g)( 2 ) =                b)   (f - g)( 2 ) =                                      c)   (f·g)( 2 ) =                   d)   (f/g)(2) =                                   e)   (f ◦ g )( 2 ) =                 f)   (g ◦ f )( 2 ) =             13.  Given , find f – 1 (x).
 Dr. Robert J. Rapalje,  Retired Contact me at:   More FREE help available from my website at Phone number:  NONE OFFICE:          NONE Copyright © Seminole State College of Florida, 1997

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