1. We are given the function $f(x) = 2x + 2$ and asked to find the value of $x$ when $f(x) = 4$. 2. The problem can be written as the equation: $$2x + 2 = 4$$ 3. To solve for $x$, subtract 2 from both sides: $$2x + \cancel{2} - \cancel{2} = 4 - 2$$ $$2x = 2$$ 4. Now divide both sides by 2 to isolate $x$: $$\frac{2x}{\cancel{2}} = \frac{2}{\cancel{2}}$$ $$x = 1$$ 5. Therefore, the value of $x$ when $f(x) = 4$ is $x = 1$. This means the point $(1,4)$ lies on the graph of the function $f(x) = 2x + 2$.