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# How to

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### How to

1. 1. “How to” Graph Polynomials <br />Sarah Dowell<br />B4<br />
2. 2. Steps <br />You take an equation like ….<br />y= (x+2)(x-1)(x-3)<br />Then you graph the points 2,1, and 3<br />With the opposite signs of the equation<br />So they would be -2, +1, and +3<br />Once you graph the points you determine whether the line with be a “pass through” a “bounce off” or a “squiggle through”<br />
3. 3. Definitions <br />A Pass through is when a line that goes straight through the point<br />A bounce off is a when a line comes up and touches the point but then turns around after it touches<br />A squiggle through is when a line goes through a point but when at the point the line goes flat on the point and then goes the rest of the way through <br />
4. 4. Examples<br />Pass through<br />Bounce off<br />Squiggle through <br />
5. 5. To determine the line <br />If the one of the parentheses has no exponents or an exponent of 1then the line will be a pass through<br />If one of the parentheses has an exponent of 2 then the line will be a bounce off<br />And if one of the parentheses has an exponent of 3 or above the line will be a squiggle through. <br />
6. 6. Degree <br />The degree is all the exponents added up.<br />If the number is an even number then the ends of the line goes up. <br />If the number is an odd number then the ends of the line has one end going down and the other going up. <br />
7. 7. Degree cont. <br />If the degree is and negative number, meaning at the beginning of the equation if there is a negative sign – then the arrows change.<br />For an even number the arrows go down.<br />For an odd number the arrows switch. <br />
8. 8. Now you graph the equation<br />Example<br />y= -(x-1)^3(x+3)^2(x-3)<br />