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Start with y = x3, which will run through the origin, and only be in quadrant 1 & 3. Now add 1 (shifting it up 1 unit), so you have y = x3 + 1, which intersects the x-axis at x = -1, and satisfies your requirements.

f(x) = x3 - 3x + 4 is a another simple example that makes a prettier curve than the first example, I think.

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Q: What is an example of a cubic function that will be in quadrants 1 2 and 3 only?
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You can write any radical as a power. For example, taking the square root is the same as raising to the power 1/2; taking the cubic root is the same as raising to the power 1/3. Here is an example how you can use this knowledge, to take the cubic root of 125 (which of course is 5) in Excel:= 125^(1/3)


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