Mr. Mehlon's Period 6/7 Cool Jeopardy

Absolute Value Unit 1 and some other stuff

1

The vertex of the function:

2 l x-2 l -4

(2, -4)

2

Draw a rough graph of the function:

1/2 l x+1 l +2

                                     l

                                     l

                                     l

___\____________________________/__________

                   \                 l      /

                               O    l

                                     l     

3

Write the linear regression for the following data set as well as the r squared value and solve for x=10. Round to the nearest thousandth

x    l    y

1    l    8

3    l    17

4    l    25

8    l    28

15  l    41

f(x)=2.119x+10.663

r²=0.903

f(10)=31.853

4

Describe the transformations of the function:

2 l x+2 l -2

Left 2

Down 2

5

A concert venue charges $200 dollars for lawn seats, 120$ for box seats, and $60 dollars to sit on the roof of the apartment building about 2 miles down the street. There are 60,000 seats total, and the total revenue for the venue was $2,760,000. There are twice as many top-of-the-apartment-building seats as there are box seats. Find the amount of seats for each type of seat.

Amount of lawn seats: 3000

Amount of top-of-the-apartment-building seats: 18000

Amount of box seats: 9000

Quadratics Unit 2

1

The vertex of the function:

f(x)=2x²-4x+7

(1, 5)

2

Describe the transformation of f(x)=x² represented by g.

g(x)=4(x-1)²+6

Vertical stretch by a factor of 4

Right 1

Up 6

3

Write the equation of the parabola with the following points in intercept form.

(2, 0)

(5, 3)

(6, 0)

y=-(x-2)(x-6)

4

Give the AOS, vertex, inc/dec values, domain, and range of the function:

f(x)=2(x-3)²-5

AOS: x=3                    domain: All real numbers

vertex= (3, 5)             range: y>=-5

Inc= x>3

Dec=x<3

5

Give the equation for the graph with the focus point of (-2, 1) and the vertex of (1, 1).

x=1/12(y-1)²+1

Solving Quadratics Unit 3

1

Solve the equation.

x²+6x+9

(x+3)²

2

Solve the equation.

4x²+10x-24

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

3

Solve the equation.

x²-6x+17

x= 4+2i(sqrt2), 4-2i(sqrt2)

4

Perform the operation. Write your answer in standard form.

(2-2i)(-8+i)

-14+18i

5

Solve the inequality.

x²+5x-40 > 0

x<(-5-(sqrt185))/2 or x>(-5+(sqrt185))/2

Solving and Graphing Polynomials Unit 4

1

Divide using synthetic division.

(x⁴-5x³+3x²-8) / (x+2)

x³-7x²+17x-34+(60/x+2)

2

Describe the end behavior of the function:

-98732458x⁴+x+9

y -> -oo as x -> -oo

y -> -oo as x -> oo

3

Subtract.

(5x⁵-8x⁴+3x²-10x+1) - (-3x⁵-8x³+3x²-2x+9)

8x⁵-8x⁴+8x³-8x-8

4

Factor completely.

5m³-625

5(m-5)(m²+5m+25)

5

Write a polynomial function f of least degree that has a leading coefficient of 1, rational coefficients, and the given zeros.

x= -2, 3-4i

x³-4x²+13x+50

Weird Polynomial Fraction things Unit 7

1

Find the sum.

3      4

_  +  _

x      2x

5/x

2

Simplify completely.

x²+4x-12

_______

  x²-36

(x-2)

____

(x-6)

3

Simplify completely.

x²+x-30      2x²-2x-1

_______ /  _________

x²+5x-6      x²+7x-8

2x-1

____

x+8

4

Find the sum/difference.

x-3         x+4

____ -- _____

3x+6    x²-2x-8

  x(x-10)

_________

3(x+2)(x-4)

5

Solve for x.

-10      8

___ -- __ = -2

x+5     9

x=4