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anonymous
 5 years ago
Given the function f(x)=x^33x^2+x3
Discuss:
a) How many times does intersect the xaxis?
b) Compare the number of zeros and the number of times it intersects the xaxis. Why the difference?
anonymous
 5 years ago
Given the function f(x)=x^33x^2+x3 Discuss: a) How many times does intersect the xaxis? b) Compare the number of zeros and the number of times it intersects the xaxis. Why the difference?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0set the function equal to zero. likewise you can plug the function into your calculator under the y= menu and go 2ND>Graph and look at the table, wherever y=0 that's where it intersects the xaxis. b) not sure if i understand the question, the number of zeros?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0b) the number of ordered pairs with y=0 should equal the # of times it intersects the xaxis

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Because there are complex solutions.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0From what I am seeing though; it looks like the y axis hits 0 one time and so does the x axis

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[f(x) = x^33x^2+x3 = (x3)(x^2+1)\] \[f(x) = 0 \iff x=3 \text{ or } x^2 = 1 \implies x = \pm i \] There are three 'zeros', but the graph only intersects the x axis once because 2 of them are complex.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Thank you for your help
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