Answer:
There is a zero at x = 1
Step-by-step explanation:
The critical points of a function are where the slope of the function is zero.
Now, for our function, the slope is never zero on the given interval. Meaning no point on the function has a horizontal tangent line. This tells us that there is no point within the interval that has a zero slope. Hence, we conclude that the function does not have any critical points in the given interval.
Taking a further look at the graph, however, we see that the function intersects the x-axis at x = 1. Therefore, the function has a zero at x = 0.
Therefore, the fourth answer choice is the correct answer.