What does 'real-valued' function mean in topology? If I have a topological space $X$ and a 'real-valued' function $f$ on $X$. Does this mean I have a map of the form: $f: X \rightarrow \mathbb R$ where $\mathbb R$ has the usual topology? Or something else?

This may seem obvious but somehow it's unclear to me.
I disagree with Mason. I have only ever seen the phrase "real-valued function on $X$" mean a function $f : X \to \mathbb{R}$. Wikipedia seems to support my claim.
'real valued' implies that the image is going to be a real number or vector in the n-dimensional reals. It doesn't necessarily imply that the image has the usual topology, or even that the image is all of the reals.