Unit 5 Review Name:_________________
Graph each, fill in the missing information:
1. π¦ = π₯ + 1 2. π¦ = β2π₯! β 4
Domain:_______ Range______ Domain:______ Range______
x-Ββint:______ y-Ββint:______ x-Ββint:______ y-Ββint:______
Inc:_______ Dec:_______ Inc:_______ Dec:_______
End Behavior: End Behavior:
Function-Ββ Even, Odd or neither Function-Ββ Even, Odd or neither
3. π¦ = (π₯ β 2 ! + 4
Domain:_______Range______
x-Ββint:______ y-Ββint:______
Inc:_______ Dec:_______
End Behavior:
Function-Ββ Even, Odd or neither
Graph :
4 . f (x) =-Ββ [[x]] + 2 5. g (x) =2 [[x + 2]] -Ββ3
Describe transfromation: Describe transformation:
6. ( ) 2
5 22 3 2
x xf x
x x x+ < ββ§βͺ
= β¨+ + β₯ ββͺβ©
7. ( )
2 1 02 1 0 53 5
x xf x x x
x
β§ β β€βͺ
= β < β€β¨βͺ >β©
Function? Yes or No Function? Yes or No
( )
( )
( )
3
4
2
f
f
f
=
β =
β =
( )
( )
( )
2
0
5
f
f
f
β =
=
=
8. π¦ = β2 π₯ β 3 + 5 9. π¦ = 4 π₯ β 5
Describe transformation: Describe transformation
Vertex_________ Axis of Symmetry__________ Vertex _________ Axis of Symmetry __________
Zeros ____________ Zeros _____________
10. π π₯ = !!(!!!)
+ 2 (sketch asymptotes) 11. π π₯ = !(!!!)
(sketch asymptotes)
Write the equation for the following functions-Ββ #12 & #13 below-Ββ
Write the equation of the circle with the given center and radius.
14. C(-Ββ1, 0), r = 13 15. C(4, -Ββ9) , π = 3
Given the following equation of a circle name the center and the radius
16. (π₯ + 11)! + (π¦ β 1)! = 75 17. (π₯ β !!)! + π¦! = !"!
!"!
Solve the following systems
18. π₯! + π¦! = 16 19. (π₯ β 2)! + (π¦ + 1)! = 25
X + y = 7 x + y = 1
Solve:
20. 21.
22. Suppose that x and y vary inversely and that y = !! when x = 3. Write a function that models the inverse variation
and find y when x = 10.
23. The values (9.7, 8) and (3,y) are from a inverse variation. Find the missing value and round to the nearest hundredth.
24. A drama club is planning a bus trip to New York City to see a Broadway play. The cost per person for the bus rental varies inversely as the number of people going on the trip. It will cost $30 per person if 44 people go on the trip. How much will it cost per person if 60 people go on the trip? Round your answer to the nearest cent, if necessary.
25. A company has found that the monthly demand for one of its products varies inversely with the price of its product. When the price is $12.50, the demand is 12,000 units. Find the demand if the price is reduced to $12.00.
26. Before cell phones hit it big, phone companies charged for long distance calls in a manner similar to this: It is $5.00 for the first 20 minutes, and $2.00 for each additional five minutes.
a.Describe the independent and dependent variables and explain your choices.
b.Graph rates for the first 40 minutes: (Make sure to label the axes.)
27. The equation π¦ = β2 π₯ β 5 + 3 models the number of people waiting in line(in tens) at a lunch counter in an amusement part x hours after the park opens. The park gates open at 8am.
a. Sketch a graph of this function, label vertex and zeros on graph.
b. At what time is the line the longest? How many people are in line?
c. At what time after noon does the line drop back to zero people waiting?