U2-N1-N3-LQ Lesson Quiz:Key Features of Polynomial Functions

What is the degree of this polynomial?

6x² + 7x⁴ + x3 + x

• 1

• 2

• 3

• 4

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Graph the function  $f\left(x\right)=x^3-5x^2+4x$ . What is the maximum of this graph?

•  $\left(0.465,0.879\right)$  

•  $\left(2.869,-6.065\right)$  

•  $\left(1,0\right)$  

•  $\left(4,0\right)$   

Graph the function  $f\left(x\right)=x^3-5x^2+4x$ . What is the minimum of this graph?

•  $\left(0.465,0.879\right)$ 

•  $\left(2.869,-6.065\right)$  

•  $\left(1,0\right)$  

•  $\left(4,0\right)$   

Graph the polynomial function $f\left(x\right)=x^3-2x^2-5x+6$ .  Given that  $x=-2$ , find the other real zeros.

•  $\left(1,0\right)\left(3,0\right)$  

•  $\left(-1,0\right)\left(-3,0\right)$  

•  $\left(1,0\right)$  

•  $\left(3,0\right)$  

Tags

CCSS.HSF-IF.C.7C

Identify the function's domain and range.

• domain (-∞,∞) and range (-∞,∞)

• domain (-∞, ∞) and range [-1,∞)

• domain (-∞,∞) and range [-4,∞)

• domain [-3, 1] and range [-4,∞)

Identify the function's x- and y-intercepts.

• x-int (-2,0), (1,0), and (3,0) and y-int (3,0)

• x-int (-2,0), (1,0), and (3,0) and y-int (0,3)

• x-int (0,-2), (0,1), and (0,3) and y-int (0,3)

• x-int (0,-2), (0,1), and (0,3) and y-int (3,0)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.2

Describe f(x)  end behavior.

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

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

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

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

What is the end behavior for the graph g(x)?

• as x → ⁻∞, g(x)→ ⁻∞

  as x→ ∞, g(x)→ ⁻∞

• as x → ⁻∞, g(x)→ ∞

  as x→ ∞, g(x)→ ∞

• as x → ⁻∞, g(x)→ ⁻∞

  as x→ ∞, g(x)→ ∞

• as x → ⁻∞, g(x)→ ∞

  as x→ ∞, g(x)→ ⁻∞

For what intervals of x is f(x) decreasing?

• (-∞,-1)

• (-1,∞)

• (6,∞)

• (-∞,6)

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7