End Behavior & Polynomials Intro

$$as\ x\ \rightarrow\infty,\ g\left(x\right)\rightarrow-\infty$$

$$as\ x\ \rightarrow-\infty,\ g\left(x\right)\rightarrow-\infty$$

$$as\ x\ \rightarrow\infty,\ g\left(x\right)\rightarrow\infty$$

$$as\ x\ \rightarrow-\infty,\ g\left(x\right)\rightarrow\infty$$

$$as\ x\ \rightarrow\infty,\ g\left(x\right)\rightarrow\infty$$

$$as\ x\ \rightarrow-\infty,\ g\left(x\right)\rightarrow-\infty$$

$$as\ x\ \rightarrow\infty,\ f\left(x\right)\rightarrow\infty$$

$$as\ x\ \rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$$

$$as\ x\ \rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$$

$$as\ x\ \rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$$

$$as\ x\ \rightarrow\infty,\ f\left(x\right)\rightarrow\infty$$

$$as\ x\ \rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$$

$$as\ x\ \rightarrow\infty,\ g\left(x\right)\rightarrow\infty$$

$$as\ x\ \rightarrow-\infty,\ g\left(x\right)\rightarrow7$$

$$as\ x\ \rightarrow\infty,\ g\left(x\right)\rightarrow7$$

$$as\ x\ \rightarrow-\infty,\ g\left(x\right)\rightarrow\infty$$

$$as\ x\ \rightarrow\infty,\ g\left(x\right)\rightarrow\infty$$

$$as\ x\ \rightarrow-\infty,\ g\left(x\right)\rightarrow-\infty$$

This is a 4th degree polynomial with 4 real roots and 2 imaginary roots

This is a 4th degree polynomial with 4 real roots and no imaginary roots

This is a 4th degree polynomial with 4 imaginary roots

$$as\ x\ \rightarrow\infty,\ f\left(x\right)\rightarrow\infty$$

$$as\ x\ \rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$$

$$as\ x\ \rightarrow\infty,\ f\left(x\right)\rightarrow\infty$$

$$as\ x\ \rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$$

$$as\ x\ \rightarrow\infty,\ f\left(x\right)\rightarrow0$$

$$as\ x\ \rightarrow-\infty,\ f\left(x\right)\rightarrow0$$

This has no end behavior.

their degree and number of terms

their degree and number of real roots

their degree and number of imaginary roots

their degree and

y-intercept

$$5x^4+6x^7$$

$$\left(x-4\right)^5+x^3-3x^2+10$$

$$-4x-5x^2+x^3$$

$$9$$

Quartic Trinomial

4th-degree trinomial

Quadrilateral Trinomial

Quad Trinomial

9th Degree Binomial

Quadratic Binomial

9th Degree #TwoTerms

Not a polynomial

$$2x^2-6x-7$$

$$x^2-4x-11$$

$$2x^2-4x-7$$