sat-dog

Choice D is correct. The x-intercept of the graph shown is the point $\left(x,y\right)$ on the graph where $y=0$. At $y=0$, the corresponding value of $x$ is $4$. Therefore, the x-intercept of the graph shown is $\left(4,0\right)$.

Choice A is incorrect. This is the x-intercept of a graph in the xy-plane that intersects the x-axis at $x=-5$, not $x=4$.

Choice B is incorrect. This is the x-intercept of a graph in the xy-plane that intersects the x-axis at $x=5$, not $x=4$.

Choice C is incorrect. This is the x-intercept of a graph in the xy-plane that intersects the x-axis at $x=-4$, not $x=4$.