Unit 1-Austin Schlief

Unit 1-Austin Schlief

1. Chapter 1

   • Section 1.2-Visualizing Relationships in Data
     • Input
     • Output
     • Independent Variable
     • Dependent Variable
   • Section 1.6- Working with Functions: Graphs and Graphing Calculators
     • Getting coordinates based on equations
       • Ex: f(x)+2x+1
   • Section 1.9- Solving Basic Equations
     • Solve the following examples
       • a^2-9=0
       • 8-6d+-36
       • 6c+24=44-4c
       • 2(3+x)=2(4x-1)-10
       • PV=nRT (solve for V)
   • Section 1.7- Getting Information From the Graph
     • The graph of a function g is given. Find
       • g(-2), g(0), g(4), g(6), g(10), g(12), and g(14)
       • Find value(s) of x for which g(x)=4
   • Section 1.5- Function Notation
     • Consider the function f(x)=5x
       • What is the name of the function?
       • What letter represents the input?
       • What is the output?
     • Divide by 4, then add 3
     • Square, add 2, and then multiply by 5
   • Section 1.4- Definition of Function
     • y=3x^2+5
       • is this a function?

2. Chapter 2

   • Section 2.3- Making Linear Models
     • Write an equation of the line with slope 1/2 and y-intercept (0,3)
     • Write the equation 5x-3y=7 in slope-intercept form
     • Find an equation of the line through the two points (-2,5) and (-3,6)
   • Section 2.2- Linear Functions
     • Determine if the following functions are linear
       • f(x)=5-2/3x
       • g(d)=-4/5d+11
       • f(x)=(x+4)^2
   • Section 2.4- Direct proportionality
     • find an equation parallel to line passing through (-2,5) with the equation y=5-1/2x
     • find the slope of an equation of the line through (-7,2) perpendicular if and only if their slopes are negative reciprocals
     • Constant of proportionality- y=kx
       • x=12 and y=2.4
   • Section 2.7- Linear Equations: Where Lines Meet
     • Find where the two functions f(x)=6-1/2x and g(x)=-3+4x intersect

3. Chapter 7

   • Section 7.1: Systems of Linear Equations in Two Variables
     • Substitution
       • s-5t+1 and 2s-3t+16
     • Elimination
       • 8x+3y+-11 and x=1/2y+3