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  • 1. Linear Functions
    Algebra 2
  • 2. Relations
    • A relation is a pairing of input and output values.
  • Relations
    • A relation is a pairing of input and output values.
    • 3. Can be represented graphically by a set of ordered pairs (x, y).
  • Functions
    • A relation is a function when each input value has one and only one output value.
  • Example 1
    Domain
    Range
    Vertical Line Test
  • 4. Linear Functions
    • A linear function makes a line on a graph.
  • Linear Functions
    • A linear function makes a line on a graph.
    • 5. A solution to a linear function is a point on the line.
  • Example 2
  • 6. Graphing
    • The graph of a function is the set of ALL the points (x, y) that satisfy the equation.
  • Graphing
    • The graph of a function is the set of ALL the points (x, y) that satisfy the equation.
    • 7. For a linear function, all these points together create a line.
  • Graphing
    • One way to graph a linear function is to create a table of values.
  • Graphing
    • One way to graph a linear function is to create a table of values.
    Solve the equation for y.
  • 8. Graphing
    • One way to graph a linear function is to create a table of values.
    Solve the equation for y.
    Choose a few x-values to plug in and find the corresponding y-values.
  • 9. Graphing
    • One way to graph a linear function is to create a table of values.
    Solve the equation for y.
    Choose a few x-values to plug in and find the corresponding y-values.
    Plot these points.
  • 10. Graphing
    • One way to graph a linear function is to create a table of values.
    Solve the equation for y.
    Choose a few x-values to plug in and find the corresponding y-values.
    Plot these points.
    Connect with a straight line.
  • 11. Example 3
  • 12. Intercepts
    • Another way to graph a function is to find its x- and y-intercepts.
    • 13. The intercept is where it crosses the axes.
  • Intercepts
    • For the x-intercept, y is …?
    • 14. For the y-intercept, xis …?