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# A2 1 linear fxns

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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 …?