The graph of is shown in the figure. As you can see, the graph does not cross the x-axis. If the graph did cross the x-axis, the x-intercepts would be solutions to the equation . Solve this equation. The solutions will confirm the fact that the graph cannot cross the x -axis.
E)none of these

Question

The graph of  is shown in the figure. As you can see, the graph does not cross the x-axis. If the graph did cross the x-axis, the x-intercepts would be solutions to the equation  . Solve this equation. The solutions will confirm the fact that the graph cannot cross the x -axis. 
E)none of these

Quizplus · Accepted Answer

To find the x-intercepts, we need to set y=0 in the original equation and solve for x:
$$5x^2+3=0$$
This equation has no real solutions, since the term $5x^2$ is always positive and cannot be equal to a negative number like $-3$. Therefore, the graph cannot cross the x-axis, confirming the fact from the given graph. The correct choice is (B).

The Graph of Is Shown in the Figure