Unit 2 EOC Review Notes

Unit 2 EOC Review Notes
- Use this Quizizz Lesson to fill out the EOC Review Notes Packet for Unit 2

By Hannah Wiley

​EOC Questions might phrase end behavior like this:

• As x goes towards positive or negative infinity, f(x) goes towards positive infinity.

• As x goes towards positive infinity, f(x) goes towards positive infinity.
  As x goes towards negative infinity, f(x) goes towards negative infinity.

• As x goes towards positive or negative infinity, f(x) goes towards negative infinity.

• As x goes towards positive infinity, f(x) goes towards negative infinity.
  As x goes towards negative infinity, f(x) goes towards positive infinity.

Multiple Select

Check all the even degree polynomials:

Multiple Choice

What of the following is a correct end behavior?

• 
  

  $$as\ x\ \longrightarrow\infty,\ f\left(x\right)\longrightarrow\ \infty\$$  
  

• $$as\ x\ \longrightarrow\infty,\ f\left(x\right)\longrightarrow-\infty$$  

Multiple Choice

What of the following is a correct end behavior?

• 
  

  $$as\ x\ \longrightarrow-\infty,\ f\left(x\right)\longrightarrow\ \infty\$$  
  

• $$as\ x\ \longrightarrow-\infty,\ f\left(x\right)\longrightarrow-\infty$$  

Multiple Choice

What are the zeros of the function?

• 4,1
• 3,1,-2,-5
• -3, -1, 2, 5
• -2,4

Multiple Choice

Given the polynomial below, how many roots will it have?
$$y=x^2-25$$  

• 2

• 1

• 3

• 0

Multiple Choice

Given the polynomial below, how many roots will it have?
$$y=x^3+5x^2-9x-2$$  

• 2

• 1

• 3

• 0

Multiple Choice

What is the degree of x(x + 2)(x - 3)?

• 1
• 2
• 3
• 4

Multiple Choice

All complex roots comes in pairs.

• True
• False

Multiple Choice

What is the degree of the following polynomial that has 4 real roots and 2 complex roots?

• 4
• 2
• 8
• 6

Multiple Choice

• This is correct
• This is incorrect

Multiple Choice

What should you add to this problem?

(2x³ + 5x² + 9) ÷ (x + 3)

• 0x⁴

• 0x³

• 0x²

• 0x

Multiple Choice

Divide

$$\frac{2a^2-7a+3}{2a-1}$$  

• $$a+3$$  

• $$a-3$$  

• $$2a\ -3$$  

• $$a+2$$  

Multiple Choice

Use polynomial long division: (3x³ + 5x - 1) ÷ (x + 1)

• 3x³ - 3x² + 8x - 9

• $$3x^2-3x+8-\frac{9}{x+1}$$  

• $$3x^2+3x+8+\frac{7}{x+1}$$  

• 3x³ + 3x² + 8x + 7

Multiple Choice

Determine if  $$\left(x-1\right)$$   is a factor of  $$6x^3-2x^2+5x-8$$  .

• Yes

• No

Multiple Choice

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

Multiple Choice

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

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

Multiple Choice

Match the equation to the graph.

• y=-(x+1)(x-2)(x-4)
• y=(x+1)²(x-3)(x-1)³
• y = 3x³ – 2x + 1
• y=(x+1)³(x-3)(x-1)²

Multiple Choice

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (0, 1)

Multiple Choice

How many solutions will this system have? 

• No solution
• One Solution
• I Don't Know
• Infinitely Many Solutions

Multiple Choice

Solve by graphing on Desmos:

y = x² + 3x - 5

y = x + 3

• (-4, 2) and (-1, 5)

• (-4, -1) and (2, 5)

• (2, -1 and (-4, 5)

• (-4, 1) and (2, -1)

Multiple Choice

Solve by graphing on Desmos:

y = x² + 4

y = -x² - 4

• (0, 0) and (0, 4)

• (0, 4) and (0, -4)

• (4, -4)

• No solution

Multiple Choice

An open topped box is being constructed from a 50 by 20 inch piece of cardboard by cutting squares out of equal size from the four corners so the four sides can be bent upwards to create the box. What size should the squares be in order to create a box with the largest possible volume?

• $$x=4$$

• $$x=12$$

• $$x=4.4$$

• $$x=18.93$$

Multiple Choice

You want to make a box to contain dirt and your pet earthworm. Using a 7 in by 10 in rectangle of cardboard, you cut congruent squares from the corners and fold up the sides.

Choose the equation would you use in order to do Calculus to find the maximum volume of dirt (including worm) the box can hold?

• $$V=\left(7-2x\right)\left(10-2x\right)$$

• $$V=x\left(7-2x\right)\left(10-2x\right)$$

• $$V=x\left(7-x\right)\left(10-x\right)$$

• $$V=x\left(7+2x\right)\left(10+2x\right)$$