Calculus I Exam I Review: Objectives and text-related exercises

To start with, here are is a list of objectives from chapter 1 and
a corresponding list of exercises, most of which we've already done.
Tomorrow: A sample test (or at least sample test questions!)

Objective Corresponding exercises in the text
Matching and creating stories to graphs
  • Page 5: 1-3, 9, 11, 12
    Page 71: 5
From a graph, determine when the function is increasing, decreasing, concave up or down, range, domain, as well as use it to answer questions about specific values.
  • Page 70: 1
For linear functions:
  • match equations to graphs
  • find equations matching linear story problems
  • Page 11: 10,11
  • Page 12: 15, 18, 23
For exponential functions, be able to
  • sketch growth graphs from stories
  • find equations for graphs known to be exponential
  • solve exponential growth story problems
  • find doubling time for exponential functions given numerically, graphically, or algebraically.
  • Page 22: 10-13
  • Page 23: 25
  • Page 73: 26-28,32
  • Page 23: 27-32
    Page 73: 29-31
For power functions and polynomials, be able to:
  • Recognize power functions and polynomials when you see them alg, num, or gra.
  • Determine end behavior from leading terms and vice versa.
  • Be able to determine equations from graphs and stories of functions known to be polynomials.
  • Page 29: 9-11
    Page 64: 3-6
  • Page 29: 12-14
    Page 64: 3-6
  • Page 30: 22-24
    Page 65: 16-21, 26
For logarithmic functions, be able to
  • Recognize logarithmic functions when you see them alg, num, or gra.
  • Be able to use the rules of logarithms to solve exponential equations.
  • Graphs of the inverses of page 71: 7-8
  • Page 39-40: 9-12, 23-27.
For trig functions, be able to :
  • Recognize them when you see them.
  • Find formulas for trig functions from graphs and stories.
  • Know the definitions and basic graphs of sine, cosine, tangent and their inverse functions.
  • Page 59: 20-31
Comparing function types: You need to be able to:
  • label the functions given them alg, gra, or num.
  • use the right type of function in solving story problems.
  • Be able to tell which dominate.
  • Solve and find equations that mix function types graphically, as well as be able to explain how you know you have found them all.
  • Page 30: 23,24
    Page 71: 11
  • Page 72: 13, 14, 26-33, 48-50
  • Page 71: 6
  • Page 74: 35-43
    3x = x4
Creating new functions from old:
Algebraically, numerically, and graphically:
  • Page 49-50: 3-11, 30-40