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How do you find the multiplicity of an intercept?
I don't really understand what that means, I looked the word up in the index in the back of the book, but it doesn't say...
1 Answer
- igorotboyLv 71 decade agoFavorite Answer
Multiplicity generally refers to how many times the solution occurs. Recall that an intercept is essentially the solution to a problem if it equals 0. So in something like y = (x - 3)^2, the solution would be x = 3 for y = 0 - the graph intercepts the x-axis at x = 3. In this case, x = 3 is the solution twice - if you expand that equation to y = (x - 3)(x - 3) and solve each factor, x = 3 is the solution for both. Thus this intercept of 3 has a multiplicity of 2.
