SAT Question 893c7519: Nonlinear Functions answer and explanation with Desmos solution

For the graph of the exponential function $f$ shown, where $y=f\left(x\right)$, it's given that the y-intercept of the graph is $\left(0,y\right)$. The graph intersects the y-axis at the point $\left(0,3\right)$. Therefore, the value of $y$ is $3$.