Math 104 Exam 1 Review

Exam 1 - Monday September 22nd

Chapter 1

• Variables
  • One: Making Bar Charts, Pie Charts, Histograms
  • Two: Making Scatter Plots, Time Series from tables
• Excel formula =CountIf(range, criteria) for bar charts
• Excel formula =frequency(range, bins) for histograms
• Equations relate two or more variables
• Functions are special equations: each x uniquely determines y
• Four faces of functions
  • Words
  • Graph
  • Equation
  • Table
• Ordered pairs
  • (independent, dependent)
  • (input, output)
  • (x, y)
  • (x, f(x))
• Rewriting equations to look like y = ... x ...
• Vertical line test: If any vertical line passes through the graph of the equation more than once, it is not a function.
• x has a domain, y has a range
• Functions can be increasing, decreasing, or constant
• Functions can also be concave up or concave down

Chapter 2

• Rate of Change (usually change in stuff over change in time)

  

• Linear functions (those that are a straight line) have the form
  • y = mx + b
• Slanting data
  • Optimistically or Pessimistically choosing start and end points
  • Squashing or stretching the axis to change the apparent slope
• Given two points: find slope
• Given one point and slope: find y-intercept
• Given slope and y-intercept: find points
• Given table: determine if it represents a linear function. If so, find that function
• Keywords for m (slope) in Word Problems
  • positive
  • negative
  • increasing
  • decreasing
  • growth
  • depreciate
  • y per x
• Keywords for b (y-intercept) in Word Problems
  • initially
  • starts at