Unit 3 Review

Determine the y-intercept 
f(x) = x³ - 5x² - 25x + 125

• (0,0)
• (0,25)
• (0,125)
• (0,5)

Tags

CCSS.HSF-IF.C.7C

Check all that are true about

 $f\left(x\right)\ =\ 3x\left(x-2\right)^2\left(x+1\right)^3$  

• End behavior is up up

• y-intercept is (0, 0)

• Has a maximum of 2 turning points

• Has a maximum of 3 real zeros

• Degree is 3

Which of the following are not polynomials?

• $y\ =\ \frac{1}{x}$

• $y=\sqrt{x}$

• $y=\pi x^2+7x-1$

• $y=\left|x\right|$

• $y=\sqrt{3}x^5-11x^4+12x^3-9$

Which of the following polynomial expressions is a 5th degree polynomial?

• x²(x - 2)(x + 2)
• (x² - 3) + (x³ + 4)
• (x² - 3)(x³ + 4)
• (x - 2)(x + 3)(x - 4)(x + 3)

What is the leading coefficient?

• Positive
• Negative
• Odd
• Even

Tags

CCSS.HSA.APR.A.1

Find the root(s) of the function.

• x = 3
• x = {-3, -1, 2}
• x = {-3, 2}
• x = -1

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.B.2

CCSS.HSA.REI.B.4

How many real zeros exist for the polynomial?

• 2
• 1
• 4
• None

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.APR.B.3

CCSS.HSA.APR.B.2

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

Which is true about the equation of the graph shown?

• The function has an Odd degree
• The function has an Even degree
• The function has 5 real zeros
• The function has a positive leading coefficient

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.APR.B.3

Which of the following MUST be true about 
the graph shown.

• It has a degree of
  exactly 3
• It has a degree of
  AT LEAST 3
• It has a degree of
  AT LEAST 5
• It has a degree
  of exactly 5

Tags

CCSS.HSA.REI.D.10