M3 End Behavior

How many roots (solutions) does the polynomial have?

 $f\left(x\right)=x^4-3x^2+5$  

• 4

• 2

• 6

• 5

How many roots (solutions) does the polynomial have?

 $f\left(x\right)=2x\left(x-3\right)^2$  

• 3

• 2

• 1

• 6

Tags

CCSS.HSF-IF.C.7C

What is the degree of the polynomial?

 $f\left(x\right)=\left(x-2\right)^3\left(x+9\right)^2$  

• 5

• 3

• 2

• 6

What is the degree of the polynomial?

 $f\left(x\right)=-7x^3+3x^2-10x+2$  

• 3

• 5

• 6

• -7

Identify the leading coefficient of the polynomial.

 $f\left(x\right)=x\left(x+2\right)\left(x-6\right)$  

• 1

• -12

• 2

• -6

Identify the leading coefficient of the polynomial.

 $f\left(x\right)=-5x^4-10x^2+2x$  

• -5

• 4

• 7

• 2

Identify the roots (solutions) of the polynomial.

 $f\left(x\right)=3x\left(x+5\right)^2$  

• {0, -5 (mult. 2)}

• {3, -5 (mult. 2)}

• {0, 5, -5}

• {3, 5 (mult. 2)}

Tags

CCSS.HSF-IF.C.7C

Identify the roots (solutions) of the polynomial.

 $f\left(x\right)=\left(x-3\right)\left(x+4\right)\left(x-5\right)$  

• {-4, 3, 5}

• {-5, -3, 4}

• {60}

• {3, 4, 5}

Tags

CCSS.HSF-IF.C.7C

Identify the end behavior of the polynomial.

 $f\left(x\right)=-3x^4+5x^3-7x^2+4x-10$  

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

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

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

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

Identify the end behavior of the polynomial.

 $f\left(x\right)=7x^2+4x-12$  

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

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

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

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