Answer:
The end behavior of a graphed function refers to the behavior of the function as the x-values (inputs) approach positive or negative infinity. To determine the end behavior of the graphed function, we need to analyze the direction in which the function is heading towards as x-values become extremely large or extremely small.
Explanation:
Let's analyze the given information:
The curved line crosses the x-axis at (-1, 0) and the y-axis at (0, 0.25).
The line exits the plane at (-2, -6) and (2, 6).
Since the curved line crosses the x-axis at (-1, 0) and the y-axis at (0, 0.25), we can infer that the function has a positive y-intercept and a negative x-intercept. This means the function is increasing from the left to the x-intercept (-1, 0), and it is increasing again from the y-intercept (0, 0.25) as we move to the right.
Additionally, since the line exits the plane at (-2, -6) and (2, 6), we can see that the function is increasing to the right of the y-axis and decreasing to the left of the y-axis.
Putting these observations together, we can conclude that as the x-values approach positive infinity, the function is increasing without bound. Similarly, as the x-values approach negative infinity, the function is decreasing without bound.
In summary, the true statement about the end behavior of the graphed function is that "the function increases without bound as x approaches positive infinity and decreases without bound as x approaches negative infinity."