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Systems Non Linear Equations

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Systems Non Linear Equations

1. 1. Systems of Non-linear Equations
2. 2. System <ul><li>Notice we are back to equations </li></ul><ul><li>When we did linear equations, they had how many solutions? </li></ul><ul><li>These may have one, two or none. </li></ul>
3. 3. Types of equations you’ll see <ul><li>Linear </li></ul><ul><li>y = # </li></ul><ul><li>x = # </li></ul><ul><li>y = mx + b </li></ul><ul><li>What is it’s shape? </li></ul>
4. 4. Types of equations you’ll see <ul><li>Absolute Value </li></ul><ul><li>y = │x │ </li></ul><ul><li>y = a │x │ </li></ul><ul><li>y = a │x + b│ </li></ul><ul><li>y = a │x + b│+ c </li></ul><ul><li>There are more … </li></ul><ul><li>What is it’s shape? </li></ul>
5. 5. Types of equations you’ll see <ul><li>Quadratic </li></ul><ul><li>y = x^2 </li></ul><ul><li>y = a x^2 </li></ul><ul><li>y = a x^2 + c </li></ul><ul><li>y = a x^2 + bx+ c </li></ul><ul><li>There are more … </li></ul><ul><li>What is it’s shape? </li></ul>
6. 6. Types of equations you’ll see <ul><li>What will make the Absolute Value or Quadratic graphs go down? </li></ul><ul><li>What will make them skinny? </li></ul><ul><li>What will make them fat? </li></ul>
7. 7. How to work <ul><li>You may have to put two in slope intercept form to graph them. </li></ul><ul><li>On your calculator, don’t forget to make sure you see all the intersects. </li></ul>
8. 8. How to work <ul><li>On your calculator, you need to make sure that you are near the intersection you are trying to find. </li></ul><ul><li>You have to 2 nd /Trace the same number of times that you have intersections. </li></ul><ul><li>If you have 2 intersections, you have to 2 nd /Trace for each. </li></ul>
9. 9. Example <ul><li>y= │x │ </li></ul><ul><li>y= 5 </li></ul>
10. 10. Example <ul><li>y= │2x │ </li></ul><ul><li>y= x^2 </li></ul>
11. 11. Example <ul><li>y= -3x + 2 </li></ul><ul><li>y= -x^2 </li></ul>
12. 12. Example <ul><li>y= x - 3 </li></ul><ul><li>y= │2x │+1 </li></ul>