Alg 2 Con 4.1 - Graphing Polynomial Functions Key Features

What is the standard form of the polynomial,
7x - 125 - 6x⁴ + 14x²

• 125 + 7x - 14x² +6x⁴
• 6x⁴  -14x² - 7x +125
• 125 + 14x² + 7x  - 6x⁴
• -6x⁴+ 14x² + 7x - 125

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What are the

zeros of the polynomial

y = 3(x + 4)(x + 1)(x - 3)?

• -4 (mult. 1)

  -1 (mult. 1)

  3 (mult. 1)

• 3 (mult. 1)

  3 (mult. 1)

  4 (mult. 1)

  1 (mult. 1)

• 4 (mult. 1)

  1 (mult. 1)

  -3 (mult. 1)

• -4 (mult. 1)

  -1 (mult. 1)

  3 (mult. 2)

Tags

CCSS.HSF-IF.C.7C

Describe the end behavior of

f(x) = -5x⁴- 2x² + 8

• Left side: Up

  Right side: Up

• Left Side: Up

  Right side: Down

• Left side: Down

  Right side: Up

• Left side: Down

  Right side: Down

f(x)=(x+4)(x-3)(x-2)

List the zeros for this function.

• x=-4, x=3, x=-2

• x=-4, x=3, x=2

• x=-4, x=3, x=-2

• x=4, x=3, x=2

Tags

CCSS.HSF-IF.C.7C

What is another way to say "where a function crosses the x-axis"?

• x-intercept
• zero
• root
• all of these.

Tags

CCSS.HSF-IF.C.7C

Describe the end behavior of

f(x) = 2x² + 6x³ + 10

• Left side: Rises

  Right side: Rises

• Left side: Falls

  Right side: Rises

• Left side:Rises

  Right side: Falls

• Left side: Falls

  Right side: Falls

Which of the following allows you to describe the end behavior of a polynomial?

• the degree and the constant

• the leading coefficient and the constant

• degree and the variable

• the degree and the leading coefficent

If the graph of a function crosses the x-axis, what does that mean about the multiplicity of that zero?

• Even

• Odd

• None

Tags

CCSS.HSF-IF.C.7C

If the graph of a function touches the x-axis, what does that mean about the multiplicity of that zero?

• Even

• Odd

• None

Tags

CCSS.HSA.APR.B.3

Describe the function's end behavior.

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

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

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

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7