2.3 Practice and Review

Front

What is the equation for the graph with zeros at x=1, x=2, and x=4?

Back

y=(x-1)(x-2)(x-4)

Front

How does a multiplicity of 3 affect the graph at a zero?

Back

It causes the graph to wiggle (change direction) at that zero.

Front

Back

-1

Front

If the graph of a function crosses the x-axis at a zero, what does that indicate about the multiplicity of that zero?

Back

The multiplicity is odd.

Front

Back

x=-3, x=1, x=2

Front

What does it mean if a zero has an even multiplicity?

Back

The graph touches the x-axis and does not cross it at that zero.

Front

What is the general form of a polynomial function?

Back

Front

What is a zero of a function?

Back

A zero of a function is a value of x for which f(x) = 0.

Front

How can you find the zeros of a polynomial function?

Back

By factoring the polynomial and setting each factor equal to zero.

Front

What is the significance of the leading coefficient in a polynomial function?

Back

The leading coefficient determines the end behavior of the graph.