Topic 2A Review

Use the leading coefficient and degree of a polynomial function  $g\left(x\right)=3x^3+2x^2-8$  to determine the end behavior of its graph. 

•  $x\rightarrow\infty,\ y\rightarrow\infty$  

•  $x\rightarrow\infty,\ y\rightarrow-\infty$  

•  $x\rightarrow-\infty,\ y\rightarrow\infty$  

•  $x\rightarrow-\infty,\ y\rightarrow-\infty$  

Use the leading coefficient and degree of a polynomial function   $f\left(x\right)=x^6+3x^5-4x^2+x-15$  
  to determine the end behavior of its graph.

•  $x\rightarrow\infty,\ y\rightarrow\infty$  

•  $x\rightarrow\infty,\ y\rightarrow-\infty$  

•  $x\rightarrow-\infty,\ y\rightarrow\infty$  

•  $x\rightarrow-\infty,\ y\rightarrow-\infty$  

Consider the leading term of the polynomial function. What is the end behavior of the graph? $h\left(x\right)=-4x^4+2x^3-x^2+x+2$  

• The leading term is  $-4x^4$ . Since n is even and a is negative, the end behavior is down and down.  

• The leading term is  $-4x^4$ .  Since n is even and a is negative, the end behavior is down and up.  

• The leading term is  $-4x^4$ . Since n is even and a is negative, the end behavior is up and down.   

• The leading term is  $-4x^4$ . Since n is even and a is negative, the end behavior is up and up.   

 Consider the leading term of the polynomial function. What is the end behavior of the graph?  $f\left(x\right)=-3x^5-4x^2+x+6$ 

• The leading coefficient is  $-3x^5$ .  Since n is odd and a is negative, the end behavior is up and up.

• The leading coefficient is  $-3x^5$ .  Since n is odd and a is negative, the end behavior is up and down.

• The leading coefficient is  $-3x^5$ .  Since n is odd and a is negative, the end behavior is down and up.

• The leading coefficient is  $-3x^5$ .  Since n is odd and a is negative, the end behavior is down and down.

Identify the intervals where the function is decreasing.

• $\left(-\infty,\ -1.5\right)$

• $\left(-1.5,\ 0\right)$

• $\left(0,\ 1.5\right)$

• $\left(\left(1.5,\ \infty\right)\right)$

Identify the intervals where the function is increasing.

•  $\left(-\infty,\ -1.5\right)$ 

• $\left(-1.5,\ 0\right)$

• $\left(0,\ 1.5\right)$

• $\left(\left(1.5,\ \infty\right)\right)$

Identify the intervals where the function is positive.

•  $\left(-\infty,\ -2\right)$ 

•  $\left(-2,\ 0\right)$ 

•  $\left(0,\ 2\right)$ 

•  $\left(2,\ \infty\right)$ 

Tags

CCSS.HSA.APR.B.3

Identify the intervals where the function is negative.

•  $\left(-\infty,\ -2\right)$ 

•  $\left(-2,\ 0\right)$ 

•  $\left(0,\ 2\right)$ 

•  $\left(2,\ \infty\right)$ 

Identify the y-intercept of the function.

•  $\left(0,\ 0\right)$  
  

•  $\left(-2,\ 0\right)$ 

•  $\left(2,\ 0\right)$ 

•  $\left(0,\ 2\right)$ 

Identify the x-intercept(s) of the function.

•  $\left(0,\ 0\right)$  
  

•  $\left(-2,\ 0\right)$ 

•  $\left(2,\ 0\right)$ 

•  $\left(0,\ 2\right)$