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Module 4 topic 1 2nd

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Even more Coordinate Planes - Midpoint - Relations and Functions

Even more Coordinate Planes - Midpoint - Relations and Functions

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  • 1. More – Coordinate Plane, Midpoint, and Relations and Functions
    Module 4 Topic 1
  • 2. Example 1
    Remember that the quadrants are I, II, III, or IV.
    Quadrant I = (positive x-value, positive y-value)
    Quadrant II = (negative x-value, positive y-value)
    Quadrant III = (negative x-value, negative y-value)
    Quadrant IV = (positive x-value, negative y-value)
  • 3. Example 2
    Similar Problem: Find the coordinates of the midpoint of M(-3, 0) and N(-7, -5).
    Midpoint is the average of the x-values and the average of the y-values.
    Midpoint = (x2 + x1) ÷ 2 , (y2 + y1) ÷ 2
    Midpoint = (-7 + -3) ÷ 2 , (-5 + 0) ÷ 2
    Midpoint = -10 ÷ 2 , -5 ÷ 2
    Midpoint = -5, -2.5 so we write it as an ordered pair (-5, -2.5)
  • 4. Example 3
    Similar Problem: Use the following relation to answer questions 7 - 9.
    {(2, 4), (7, 8), (-5, 4), (-2, -8), (0, 0)}
    Is the relation a function?
    Yes - because the x-values do not repeat!
  • 5. Example 4
    Similar Problem: Use the following relation to answer questions 7 - 9.
    {(2, 4), (7, 8), (-5, 4), (-2, -8), (0, 0)}
    State the domain of the relation.
    Domain = all x-values of the relation
    2, 7, -5, -2, 0 but let's put these in order so we have
    -5, -2, 0, 2, 7
  • 6. Example 5
    Similar Problem: Use the following relation to answer questions 7 - 9.
    {(2, 4), (7, 8), (-5, 4), (-2, -8), (0, 0)}
    State the range of the relation.
    Range = all y-values of the relation
    4, 7, 4, -8, 0 but let's put these in order so we have
    -8, 0, 4, 4, 7 and let's not repeat any so we have -8, 0 , 4, 7
  • 7. Example 6
    Similar Problem: If f(x) = 3x + 6, find f(-4).
    Plug in -4 for x in the function 3x + 6
    3(-4) + 6
    -12 + 6
    -6