Graphing Polynomials Warm-Up

What are the a-value and degree of this function?

• Positive Odd

• Positive Even

• Negative Odd

• Negative Even

Which of the following could be the equation of this graph in factored form? (Careful-pay attention to multiplicity.)

• f(x) = (x-4)(x-1)²(x+2)(x+4)
• f(x) = (x-4)(x+1)²(x+2)(x+4)
• f(x) = (x-4)(x-1)²(x-2)(x+4)
• f(x) = (x+4)(x+1)²(x-2)(x-4)

Tags

CCSS.HSA.APR.B.3

What is the end-behavior of the function 
y = -x³ + 6x² + 7x

• as x-> -∞  f(x) -> ∞
   as x-> ∞  f(x) -> -∞
• as x-> -∞ f(x) -> ∞
   as x-> ∞  f(x) -> ∞
• as x->-∞ f(x) -> -∞
   as x-> ∞   f(x) -> ∞
• as x-> -∞ f(x) -> -∞
   as x-> ∞ f(x) -> -∞

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the degree of the polynomial function
P(x)=3x⁴-7x²-2x⁷-x+4?

• 4
• 7
• 2
• 1

• The function has an Odd Degree

• The function has an Even Degree

• The function has 5 real zeros

• The function has a Positive a-value

Does this function have an absolute maximum?

• Yes 
• No

Tags

CCSS.HSA.REI.D.10

How many extrema (maxes and mins, relative or absolute) are in the picture?

• 2

• 3

• 4

• 5

If f(x) = x³ is changed to f(x) = - (x + 3)³ + 2, how is the graph transformed?

• 3 units right, 2 units up, reflected across the y-axis
• 3 units right, 2 units up, reflected across the x-axis
• 3 units left, 2 units up, reflected across the y-axis
• 3 units left, 2 units up, reflected across the x-axis

Tags

CCSS.HSF.BF.B.3

Which could be the resulting function?

• g(x)= 1.5 (x - 3) + 4

• g(x)= 0.6 (x + 3) + 4

• g(x)= 2 (x - 3) + 4

• g(x)= 2 (x + 3) + 4

Tags

CCSS.HSF.BF.B.3

Which of the following could be the equation of the graph in factored form?

• y= - (x+1)(x-2)(x-4)

• y= -(x+1)²(x-2)

  (x-4)³

• y = x(x+1)(x-2)

  (x-4)

• y= (x+1)³(x-3)

  (x-1)²