Let \(f\) be a function with its natural domain.

The domain number \(b\) is a zero of \(f\), if \(f(b) = 0\).

The point corresponding to the zero \(b\) is \((b, f(b)) = (b, 0)\), an intercept.

Here is the complete graph of the function \(G(x)\).

The graph has one intercept, which means that \(G\) has one zero, which appears to be \(2.4\).

The graph has another intercept: \((0, 1.7)\). This tells us that \(G(0)=1.7\). However, this is not really useful information in function analysis.

If this function was a model for some timed event, then perhaps \(t = 0\), would be important to the situation, as initial information. That would be left for the interpretation of the model.

When analyzing a function, we are mostly interested in its zeros, which correspond to intercepts on the horizontal axis.