How many intersections are there between the graphs of f(x) = 0.8x and g(x) = [x]?

Guest Mar 19, 2022

#1

#4**+1 **

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:

\(\lfloor 3 \rfloor =3\\ \lfloor 3.2 \rfloor =3\\ \lfloor 3.7 \rfloor =3\\ \lfloor 3.99999 \rfloor =3\\ \lfloor 4 \rfloor =4\\\)

Melody
Mar 20, 2022

#5**+1 **

**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?

!

asinus
Mar 20, 2022