Pre-Cal project

Attributes of graphs

100

 the only point that goes through the y-axis.

y-intercept

200

What is the difference between domain and range?

Domain is measured on the x-axis and range is measured on the y-axis.

300

decreasing intervals:

(2,4)(7,8)

400

What type of discontinuity is shown below:

h(x)= (17-x , x<5 )

        (6x-34 , x>5)

Jump disc.

500

If a ball starting at 10 yard line on a football field is getting thrown across the field to the right and landed at 50 yards  what are the increasing intervals?

(10,30)

Factoring

100

x^2-25

(x-5)(x+5)

200

4x^2+24x

4x(x+6)

300

x^2-16x+64

(x-8)(x-8)

400

x^2+7x+12

(x+4)(x+3)

500

3x^3 - x^2y +6x^2y - 2xy^2 + 3xy^2 - y^3 =

a) (3x - 2y)(x + y)

b) (3x - y)(x + y)(x - y)

c) (3x - y)(x + y)^2

d) (3x - y)(x2 + y2)

C

Solving Equations

100

3x+5=6x+2

x=1

200

The sum of three times a number and 2 less than 4 times that same number is 61. Solve the equation to determine the value of the unknown number.

x=9

300

2(x-1)-3(x-2)+4(x-3)=2(x+5)

x=18

400

x^2+6x-4=3x+6

x=2

x=-5

500

6t^2-13t-12=-7

a) (1/3 , -5/2)

b) (1,2)

c) (-1/3 , 5/2)

c

Radicals

100

true or false?

a ^n/m = m√ a^n

true

200

7√ x^2

write the following in exponential form

x^2/7

300

(3√ x^2 x 6√ x^4)^-3

1/x^4

400

-2 + √ 4x = 6

solve for x

x=16

500

3√ h x √ h^5 / √ 25h^16

1/ 5x^31/6

Exponents

100

What is it called when you add your exponents when multiplying the bases?

Product of power.

200

x^6/ x^4

x^2

300

(6w^6y^3)(12wy^4)^2

864w^7y^19

400

(2a^3 b^2)(3ab^4)^3

54a^6b^14

500

12z^-6 / 4(b^-4 z^-4)^-2

3/ b^8z^14