Sunday, September 15, 2013
SP#2 Unit E Concept 7- Graphing a polynomial and identifying all key parts
This is my own equation that i made up. what you do is you factor x^2-4x+5. You should of gotten (x-5) and (x+1) if you didn't go back and try it again and see what you did wrong. So those two points should be where it says Factored Equation. To find your End Behavior you go back to the original equation and see the x^2 only the exponent is to see if it is even or odd in this case it is even and the x to see if it is positive or negative in this case it is positive so you sing the song and it should be the first one you say which both ends go up.Then you write the limited notation since both go up the f(x) of both should be positive infinity.
To find the x-intercepts you go back to the factored equations and you equal them to 0. You should have (5,0)M1 because there is only one of those and (-1,0)M1 because it also only has one there's no other one that is the same as that one. Then you graph it you put the 5,0 and since it is multiplicity of 1 it is going thru the graph then you put the other one -1,0 and since it is also the multiplicity of one it is also going thru. To find the y-intercept you go back to the original equation and substitute the x's to 0's and you should of gotten 5 but to put it as a y-intercept it should be (0,5) then you put that one in as well to see how low its going to go. and that's how the graph should look like.
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