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

I thought that was abs(x). Please explain to us what the graph means. I didn't know anything like that before.

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?

  !

Yes, they are the same BUT they have to be included.

I made a mistake in my original answer.

The point (5,4) is NOT a point on the graph  y=floor of x   because the floor of 5 is 5 (not 4)

So there are only 4 points of intersection

Here is the correct graph