Divine Jeopardy

Rational Functions

100

What is vertical asymptote of the following function:

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

VA:x=3

200

How do you simplify the following function:

f(x)=x+4/4x+12

f(x)=x+4/4(x+3)

300

How do you simplify the following function:

f(x)=x²-7x+6/x-6

f(x)=x-1

400

What are the five steps of graphing a rational function

1. Simplify

2. Set top equal to 0 or find X-intercep/s

3. Set bottom equal to 0 or find vertical asymptote/s

4. Compare the highest degrees on both sides of the function or find horizontal asymptote/s

5. Find the hole 

500

Find the vertical and horizontal asymptote/s, the x-intercept/s, and the hole/s of the following function:

f(x) = x³-2x²-8x/3x²-27

X-Intercepts:(4,0)(-2,0)(0,0)

VA: x=-3, x=3

HA:NONE

Hole: NONE

Simplifying Rational Expressions

100

Simplify the following expression:

16mn³/10mn⁷

8/5n⁴

200

Simplify the following expression:

18x⁴+27x³/24x+36

3x³/4

300

Simplify the following expression:

35k-14/4-25k²

7/-(5k+2)

400

Simplify the following expression:

p²-p-72/3p²-28p+9

p+8/3p-1

500

Simplify the following expressions:

2x²−x−28/20−x−x²

-(2x+7/x+5)

Biblical Numbers

100

This number is referred to as the number of god symbolizing perfection

7

200

This number represents governance and foundation it was the number of apostles

12 as in the 12 apostles

300

This number is associated with the full completness of something mentioned many times in the bible

3 as in the holy trinity

400

This number is associated with a period of growth and learning. Shown through trials and tribultions.

40 as in the 40 nights

500

This large number represents "the ones who live in the most exile from popularity"

144,000 as in the 400 years or 144,000 days the Israelites were exiled for.

Multiplying Polynomials

100

Multiply and simplify the following polynomial:

(w-7)(w²+2w+1)

w³-5w²-13w-7

200

 Multiply and simplify the following polynomial:

-3(a+5)(a-2)(a+8)

-3a³-3a²-42a+240

300

Multiply and simplify the following polynomial:

(2c+5d)³

8c³+60c²d+150cd²+125d³

400

Multiply and simplify the following polynomial:

(x²+6x-7)(-x²-9x-4)

-x⁴-15³-51x²+39x+28

500

The height of a trapezoid can be expressed as (2x+9) while the bases can be expressed as (3x-7) and (x+5) what expression represents the area.

Hint formula: (h(b₁+b₂))/2

Area = 4x²+16x-9 inches²

Dividing Polynomials

100

Divide the following polynomial:

(9m³-24m²)/3m

3m²-8m

200

How can this expression be re-written:

x^-1

1/x

300

Divide the following polynomial:

20x³-4x²-8x/4x

5x²-x-2

400

Divide the following polynomial:

40m³n⁴-24m²n⁷/8m²n⁵

5m/n - 3n²

500

Divide the following polynomial:

30c⁸d³-36c⁶d²+6c³d/12c²d

2.5c⁶d²-3c⁴d+0.5c