Polynomial Functions (Behavior)

What is the vertex of the function  $f\left(x\right)=x^2+4x$  ?

• (-2,4)

• (-2,0)

• (2,-4)

• (-2,-4)

What is the vertex of the function  $f\left(x\right)=-2\left(x-5\right)^2+5$  

• (-5,5)

• (5,5)

• (5,-5)

• (-10,5)

What is the linear equation for a line that passes through the points (3,4) and (-3,4)

• x = 4

• y = 6x + 4

• y = 4

• y = -6x - 4

What is the end-behavior of the function  $f\left(x\right)=-x^3+2x^2-x-4$  ?

•  $\lim_{x\rightarrow-\infty}f\left(x\right)=-\infty\ and\ \lim_{x\rightarrow\infty}f\left(x\right)=-\infty$  

•  $\lim_{x\rightarrow-\infty}f\left(x\right)=\infty\ and\ \lim_{x\rightarrow\infty}f\left(x\right)=-\infty$  

•  $\lim_{x\rightarrow-\infty}f\left(x\right)=-\infty\ and\ \lim_{x\rightarrow\infty}f\left(x\right)=\infty$  

•  $\lim_{x\rightarrow-\infty}f\left(x\right)=\infty\ and\ \lim_{x\rightarrow\infty}f\left(x\right)=\infty$  

What is the end-behavior of the function  $f\left(x\right)=10x^4-3x^2+111$  ?

•  $\lim_{x\rightarrow-\infty}f\left(x\right)=-\infty\ and\ \lim_{x\rightarrow\infty}f\left(x\right)=-\infty$  

•  $\lim_{x\rightarrow-\infty}f\left(x\right)=-\infty\ and\ \lim_{x\rightarrow\infty}f\left(x\right)=\infty$  

•  $\lim_{x\rightarrow-\infty}f\left(x\right)=\infty\ and\ \lim_{x\rightarrow\infty}f\left(x\right)=-\infty$  

•  $\lim_{x\rightarrow-\infty}f\left(x\right)=\infty\ and\ \lim_{x\rightarrow\infty}f\left(x\right)=\infty$  

Identify the zeros of the function and their corresponding multiplicities for the function  $f\left(x\right)=-\left(x-4\right)^2\left(x+1\right)^3\left(x-2\right)$  .

• x = 4 (mult = 2)
  x = -1 (mult = 3)
  x = 2 (mult = 1)

• x = -4 (mult = 2)
  x = 1 (mult = 3)
  x = -2 (mult = 1)

• x = -4 (mult = 1)
  x = 1 (mult = 1)
  x = -2 (mult = 1)

• x = 2 (mult = 4)
  x = -3 (mult = 1)
  x = 1 (mult = 2)

Tags

CCSS.HSF-IF.C.7C

Identify the zeros of the function and their corresponding multiplicities  $f\left(x\right)=x\left(x+1\right)\left(x-2\right)^5$  .

• x = 1 (mult = 1)
  x = -2 (mult = 5)

• x = 0 (mult = 1)
  x = 1 (mult = 1)
  x = -2 (mult = 5)

• x = 0 (mult = 1)
  x = -1 (mult = 1)
  x = 2 (mult = 5)

• x = -1 (mult = 1)
  x = 2 (mult = 5)

Tags

CCSS.HSF-IF.C.7C

Identify the type of function:  $f\left(x\right)=-3+2x-7x^2+x^3$  

• Linear

• Quadratic

• Cubic

• Constant

Identify the type of function:  $f\left(x\right)=5x^4-12x^3+2x^2-x+6$  

• Quintic

• Quartic

• Cubic

• Linear

Which of the following is a polynomial function?

•  $f\left(x\right)=\sqrt{x^2-1}$  

•  $g\left(x\right)=8x^2+3x^{-1}$  

•  $h\left(x\right)=\frac{13}{x^2-25}$  

•  $k\left(x\right)=1+2x^2+3x^3+4x^4$