I was reading this definition and I have always been stuck as to what it means in words. Could someone explain what the function below means in words?
$f:[a,b]\rightarrow \mathbb{R}$ is a continuous function $(*)$
So what exactly is $[a,b]$? How would I interpret/explain it in words?
i.e. I know that $f:X\rightarrow Y$ can be interpreted as saying "Let $f$ be a function from $X$ to $Y$". I'm just not sure how to do it for $*$.
Thanks.