Question

Fill in the blank. If a zero is of _______ multiplicity, then the graph of its function only touches the x-axis at the zero.

a) Even
b) Odd
c) High
d) Low

Answer 1

If a zero is of even multiplicity, then the graph of its function only touches the x-axis at the zero.

Step-by-step explanation:

The correct answer is a) Even.

If a zero is of even multiplicity, then the graph of its function only touches the x-axis at the zero. This means that the graph intersects the x-axis and bounces off, but does not cross it. For example, the graph of y = x^2 has a zero of even multiplicity at x = 0, and the graph only touches the x-axis at that point.