UNIT 1

UNIT 1

1. 1.2 Visualizing Relationships in Data

   • Relation: Any set of ordered pairs (X,Y)
     • Input = X = Independent Variable
     • Output= Y = Dependent Variable
   • Scatter Plot : Graph of the ordered pairs of data

2. 1.5 Function Natation: The Concept of Function as a Rule

   • Function notation: F(x)= Mx+b
     • F(X)=Y
   • Domain = (#,#), [#,#], (#, #], [#,#)
     • You cannot have zero as a Domain

3. 2.2 Linear Functions: Constant Rate of Change

   • Linear Function: is a function of form f(x)= mx=b
     • m and b are both real numbers
       • Rate of change= m = slope = Rise/run = y2-y1/x2-x1
       • Initial value= b = Y- intercept
     • The graph of a linear function is a straight line

4. 2.7 Linear Equations: Where Lines Meet

5. 1.7 Working wint Functions: Getting Information from the Graph

   • Domain and Range of a Graph
     • Domain: the highest and lowest point
     • Range: The farthest points to the left and right

6. 2.4 Varying Coefficients: Direct Proportionality

   • two nonvertical lines can only be parallel if M1=M2
     • M1 and M2= Slopes of lines
   • two non vertical lines intersect; Can only be PERPENDICULAR if their slopes are negative reciprocals
     • m1=-1/m2
   • two variables are only proportional only if there is a linear relationship between them with a b of 0
     • y=Mx

7. 2.3 Equations of Lines: Making Linear Models

   • Slope intercept form
     • Y= mx=b
       • slope=m
       • b= Y-intercept
   • Point slope form
     • y-y1= m(x-x1)
   • Horizontal and Vertical lines
     • Equation for:
       • Horizontal through (a,b) : Y=b
       • Vertical through (a,b): X=a
   • General Form of a equation of a line
     • Ax+By+C=0

8. 2.6 Linear Equations: Getting Information from a Model

9. 1.9 Making and using Formulas

   • Formula: equation involving variables
     • d=rt Solve for r
   • To solve you do PEMDAS backwards

10. 1.4 Functions: Describing Change

    • Function: a relation in which each input gives exactly one output
      • one input can only have one output
        • no x value should have more than one y value
      • one output can have more that one input
    • 4 Ways to Represent a Function
      • Graphically
      • Numerically
      • Symbolically
      • Verbally

11. 7.1 Systems of Linear Equations in Two Variables