Unit 1&2 Review

Inverse Functions

100

What happens to the x and y coordinate of inverse functions?

They switch places 

200

What is the line of reflection for inverse functions?

y=x

300

Find the inverse

f(x)=3x²-m

f^-1(x)=square root (x+m)/3

400

Find the f^-1(x) of

f(x)=2x+5

f^-1(x)=(x-5)/2

500

What is the second step when solving this inverse function

f(x)=5x+12

Switch places with the x and y coordinate

Miscellaneous

100

If f(x)=2x²-7x and g(x)=10-x Find h(x): 4f(x)-g(x)

h(x)=8x²-27x-10

200

If f(x)=3x²-5x and g(x)=9-6x Find h(x): 4f(x)-g(x)

h(x)=12x²-14x-9

300

Solve the following absolute value inequality: 

4|6-2x|+8<24

1<x<5

400

Solve the following absolute value inequality: 

2|2x-4|-8<-28

-3 <x <7

500

What is the sum of the zero's

m(x)=x³+3x²-2x-4

Sum of zero's =-3

Absolute Value Transformation

100

What is the equation that will move   y=|x| 7 units to the right and 1 unit down?

                   

y=|x-7|-1

200

What is the equation that will move   y=|x|

6 units to the right and 2 units down?

y=|x-6|-2

300

What is the equation that will move   y=|x|

8 units to the left and 10 units up?

y=|x+8|+10

400

What is the equation that will move   y=|x|

12 units to the left and 7 units down?

y=|x+12|-7

500

What is the equation that will move y=2^x

8 units down

y=2^x-8

Exponential Functions

100

Compare the graph of f(x)= 1/2^x and g(x) = 2^x

The intersection is (1,0.5)

They reflect over the y axis

200

 P= (1+.06)[250(1-r)+100]

P=371-265r

300

The number of bacteria increase by 12% every 3 days modeled by the equation: y=420(1.12)^t/3 

After how many days will the bacteria triple from the original amount?

29 Days

400

Solve for x: log base 9 of 27=2x-5

x= 3.25

500

The population of Winston increases 7% every 5 years. Model the scenario with an equation

P(t)=P_o(1+.07)^t/5

Work Rate Functions

100

Anna can paint 5 rooms in 4 hours.  Simon can paint 6 rooms in 5 hours.  How long will it take them to paint 11 rooms together?

4.48 hours

200

Martha can paint 4 rooms in 5 hours. Jamie can paint 7 rooms in 9 hours. How long, to the nearest tenth of an hour, will it take them to paint 14 rooms together?

8.87 Hours

300

Find the area of the rectangle l= (x² +3x +7)  w=(x-2)

x³ +x²+x-14

400

                              -(x+1) -1,              x-1

          h(x) =           (x-1)² +2 ,          -1<x3

                                        1,                x>3

1. h(-5) > h(4)       3. h(-4) < h (-1)

2. h(0) =h(2)         4.  h(-10) = h(7)

2. h(0)=h(2)

500

The Population of WS increases 2% every 10 years. Model an equation to match the scenario

P(t)=P_o(1+.02)^t/10