1. The problem asks: Find the value of $x$ such that $f(x) = 7$ using the graph of $f(x)$. 2. From the graph description, the curve passes through the point near $(2,7)$. 3. This means when $x \approx 2$, the function value $f(x) = 7$. 4. Therefore, the value of $x$ for which $f(x) = 7$ is approximately $2$. Final answer: $x = 2$