End Behavior of polynomials

Front

What is the term that affects the end behavior of a polynomial?

Back

Leading Term

Front

What are the x-intercepts of the polynomial 2(x + 5)(x + 1) = 0?

Back

x = -5, -1

Tags

CCSS.HSF-IF.C.7C

Front

As x approaches -∞, what is the end behavior of the polynomial if it goes to -∞?

Back

f(x) approaches -∞

Front

As x approaches +∞, what is the end behavior of the polynomial if it goes to +∞?

Back

f(x) approaches +∞

Front

What is the degree of a polynomial that has an odd number of roots?

Back

Odd

Front

What is the end behavior of a polynomial with a leading term of positive degree?

Back

As x approaches -∞, f(x) approaches -∞; As x approaches +∞, f(x) approaches +∞.

Front

What is the end behavior of a polynomial with a leading term of negative degree?

Back

As x approaches -∞, f(x) approaches +∞; As x approaches +∞, f(x) approaches -∞.

Front

How do you determine the end behavior of a polynomial function?

Back

Look at the leading term and its degree.

Front

What does it mean if a polynomial has an even degree?

Back

The end behavior will be the same on both ends (either both go to +∞ or both go to -∞).

Front

What does it mean if a polynomial has an odd degree?

Back

The end behavior will be opposite on both ends (one goes to +∞ and the other goes to -∞).