How many intersections are there between the graphs of f(x) = 0.8x and g(x) = [x]?
There is only one touch point (0,0), no intersection point.
Sorry asinus, I didn't see your question earlier.
[x] means nothing to me either.
I looked it up and it seems to be used sometimes in place of the floor function. \(\lfloor x\rfloor\)
I assume that this is because the floor function symbol is not on an ordinary keyboard and it is not a common symbol.
The floor function simply means 'round down' to the nearest integer.
so for example:
\(\lfloor 3 \rfloor =3\\ \lfloor 3.2 \rfloor =3\\ \lfloor 3.7 \rfloor =3\\ \lfloor 3.99999 \rfloor =3\\ \lfloor 4 \rfloor =4\\\)
Thank you Melody! According to your information, I covered
f(x)= 0.8x with g(x)=ceil(x-1) in my graph program. I hadn't used ceil before.
There are three points of intersection and two points of contact.
Question: Do points of intersection and points of contact have the same designation in the English-speaking world?