Which of the following could be the multiplicity of a zero whose graph touches the x-axis then turns back?(1 point)
Responses
0
0
2
2
3
3
1
The correct answer is: 1.
When the graph of a function touches the x-axis and turns back without crossing it, we say that it has a zero with multiplicity 1.
To determine the multiplicity of a zero whose graph touches the x-axis then turns back, we first need to understand what zero multiplicity means.
Multiplicity refers to the number of times a given zero appears as a root in the equation. When a zero has a multiplicity of 1, it is a simple zero and the graph of the function crosses the x-axis at that point. However, for the graph to touch the x-axis and turn back, the zero must have a multiplicity greater than 1.
In this case, the correct answer would be 2, as a zero with a multiplicity of 2 would create a graph that touches the x-axis at that point and then turns back. Therefore, the answer is:
2