What is the multiplicity of a zero?

The video tutorial explains the concept of zeros in a graph, focusing on how they relate to X intercepts. It covers the process of factoring polynomials to find zeros and introduces the concept of multiplicity, explaining how it affects whether a graph touches or crosses the X-axis. The tutorial also discusses graph behavior based on even and odd multiplicities, providing examples and clarifying the impact of these factors on the graph's shape.

What is the first step in finding the zeros of a function?

• Set the function equal to zero

• Differentiate the function

• Integrate the function

• Multiply the function by a constant

How is multiplicity related to the behavior of a graph at a zero?

• It shows the speed of the graph

• It affects the width of the graph

• It indicates whether the graph crosses or touches the x-axis

• It determines the color of the graph

If a factor is written as (x - a)^k, what does 'k' represent?

• The degree of the polynomial

• The multiplicity of the zero

• The y-intercept of the graph

• The slope of the graph

What happens to the graph at a zero with an even multiplicity?

• The graph crosses the x-axis

• The graph disappears

• The graph touches the x-axis and rebounds

• The graph becomes a straight line

What is the behavior of a graph at a zero with an odd multiplicity?

• The graph touches the x-axis

• The graph crosses the x-axis

• The graph forms a loop

• The graph remains constant