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A2 1 linear fxns

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A2 1 linear fxns

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