Question

identifying the key features of a function from its graph
of the zeroes have a multiplicity of 2.
none
one
two
three

Explanation:

Step1: Recall multiplicity rule

A zero with multiplicity 2 touches the x - axis (graph is tangent at that point) and turns around.

Step2: Analyze the graph's zeros

The graph crosses the x - axis at \(x=-2\), \(x = 0\) (wait, no, looking at the grid, the zeros are at \(x=-2\), \(x = 0\)? Wait, no, the graph crosses the x - axis at three points? Wait, no, looking at the graph: it crosses the x - axis at \(x=-2\), \(x = 0\)? Wait, no, the x - intercepts: let's check the graph. The graph crosses the x - axis at \(x=-2\), \(x = 0\)? Wait, no, the grid lines: the first x - intercept is at \(x=-2\) (crosses from below to above), then at \(x = 0\) (crosses from above to below), then at \(x = 4\) (crosses from below to above). For a zero with multiplicity 2, the graph touches the x - axis (is tangent) at that point. In this graph, none of the x - intercepts have the graph touching the x - axis (all are crossing points), so the number of zeros with multiplicity 2 is None.

Answer:

None