SAT Question 45df91ee: Nonlinear Functions answer and explanation with Desmos solution

Choice A is correct. The x-coordinate of any y-intercept of a graph is $0$. Substituting $0$ for $x$ in the given equation yields $g\left(0\right)=11{\left(\frac{1}{12}\right)}^0$. Since any nonzero number raised to the $0$th power is $1$, this gives $g(0)=11\cdot 1$, or $g(0)=11$. The y-intercept of the graph is, therefore, the point $\left(0,11\right)$.