State the range of the function below.

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Sketch the graph of $f:x \mapsto -4x + 5$ , $x<2$ and state the range.

I got the graph, but can't state the range...how to find them?

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$f(x)=-4x+5$ is simply a straight line. At $x=2$, you have $f(x)=-3$; moreover, as $x\rightarrow -\infty$ it holds that $f(x)\rightarrow +\infty$. So the range of $f$ is simply the open interval $(-3,+\infty)$.