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two intersection points but only shows one?
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If I have two very basic functions f(x) = sqrt(x) and g(x) = 0.5*x they intersect in x = 0 and x = 4.
I can get Geogebra to show them if I use the intersection tool, however I use intersect command it only shows one of them. So my question is how do I get it to show both points using the intersect command?
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Seems to be a bug
Lets say
X=solutions(f=g)
Y=(X,f(X))
Meanwhile ...
l2 = {Intersect(g, f, 1, 5)}→ only {(4, 2)}.
Intersect( <Function>, <Function>, <Start xValue>, <End xValue> )
You must specify search intervals
In (0,0), the intersection does not want to be defined. If you specifically set: A = Intersect(g, f, (0, 0))→(0,0)!!!!!
in the case: h(x) = If(x ≥ 0, f(x), x)→l6 = {Intersect(g, h, 1, 5)}→ {(0, 0), (4, 2)} !!!
@Roman, Thank your for your answer The tricky is to try to teach this to high school level students. So I whish the guys and girls coding geogebra would attempt if possible to include this in the intersect tool :)
intersect use methods of Bolzano , Newton or tangent
try solutions(f(x)=g(x)) in CAS view for no numeric solutions
Click with the Intersect Tool at each intersection point
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