Analyzing Polynomial End Behavior and Zeros

Identifying the x-intercepts

Using the leading coefficient test

Calculating the derivative

Finding the y-intercepts

The degree of the polynomial

The y-intercepts

The number of zeros

The end behavior of the polynomial

They approach positive infinity

They approach zero

They remain constant

They approach negative infinity

f(x) approaches positive infinity

f(x) remains constant

f(x) approaches zero

f(x) approaches negative infinity

Two

None

Three

One

Asymptotes

Turning points

Y-intercepts

X-intercepts

It is a linear polynomial

It has no degree

It is an even degree polynomial

It is an odd degree polynomial

It always has exactly one zero

It has no zeros

It always has an odd number of zeros

It always has an even number of zeros or none

f(x) remains constant

f(x) approaches negative infinity

f(x) approaches zero

f(x) approaches positive infinity

f(x) approaches zero

f(x) approaches negative infinity

f(x) remains constant

f(x) approaches positive infinity