Math 150 Exam 2

I think you are going to find this exam challenging, and you should expect to leave sweating on Thursday. Prepare well.

• 3B:
  • Graphs of equations, plotting points
  • intercepts
  • x,y-axis symmetry
  • origin symmetry
  • tests for symmetry
  • what symmetry means visually
• 3C:
  • Linear equations in two variables.
  • Slope
  • Horizontal lines
  • Vertical lines
  • Parallel lines/slopes
  • Perpendicular lines/slopes
  • Equations for lines
  • Slope-intercept form
  • Point-slope form
• 4A:
  • Definition of a function.
  • Evaluating functions
  • Domain of a function
  • Difference quotient [f(x+h)-f(x)]/h
  • Word problems!!! (See http://www.math.tamu.edu/~sherry.scarborough/150topics.html#stream for extra help on these.)
• 4B:
  • Graphs of functions
  • x-, y- intercepts
  • Vertical line test
  • Domain and range from graphs
  • Constant function (what do these look like?)
  • Identity function (what do these look like?)
  • Squaring function (what do these look like?)
  • Cubing function (what do these look like?)
  • Absolute Value Function (what do these look like?)
  • Reciprocal function (what do these look like?)
  • Piecewise functions
  • Increasing functions
  • Decreasing functions (what do these look like?)
  • Constant functions (what do these look like?)
• 4C:
  • Transformations of functions
  • Horizontal and vertical shifts
  • Reflections about the x- or y- axis.
  • Vertical stretch and shrink
  • Combinations of transformations.
  • Even functions (test and visual)
  • Odd functions (test and visual)
• 4D:
  • Maximum/Minimum Function values
  • Quadratic functions (what do these look like?)
  • Standard form a(x-h)^2 + k
  • Opening up or down?
  • Graphing based on standard form.
  • Vertex of quadratic
  • Axis of symmetry
  • Zeros
  • Domain of quadratic
  • Range of quadratic
  • Maximum of quadratic
  • Minimum of quadratic
  • Completing the square
  • Applications
  • Local maxima and minima (visual)
• 4E:
  • Combinations of functions
  • Addition f+g and Domain of f+g
  • Subtraction f-g and Domain of f-g
  • Multiplication of fg and Domain of fg
  • Quotient f/g and Domain of f/g
  • Composition functions (f ° g)(x)
  • Domain of composition
• 4F:
  • Inverse functions
  • Vertical and horizontal line tests
  • One to one functions; algebraically show one-to-one (or not)
  • Domain and range of the inverse function
  • How to find an inverse function
  • Graphs of inverse functions are symmetric about line y=x
• 5A:
  • Polynomial functions
  • End behavior of polynomial functions
  • Lead order term
  • Leading coefficient

(C) 2008/2009 Jean Marie Linhart, all rights reserved.