AA1CC
Name: ___________________________________________
Unit 5 Test REVIEW
Date: _________________________ pd: _________
Transformations Practice
#1-6 Match each function on the left with its graph on the right.
_______1. y 
x5 2
_______2. y 
x5  2
_______3. y 
x5 2
_______4. y 
x2 5
_______5. y 
x 2 5
_______6. y 
x2 5
A
B
D
E
C
F
For #7-11, explain all of the transformations from the parent function using correct terminology.
7. 𝑦 = 2(𝑥 + 3)2 _______________________________________________________________________
5
8. 𝑦 = 6 𝑥 − 4 _________________________________________________________________________
9. 𝑦 = −2𝑥−5 _________________________________________________________________________
10. 𝑦 = −|2𝑥| + 1 _____________________________________________________________________
11. 𝑦 = 4 ∙ 32𝑥 ________________________________________________________________________
#12-14 Write the equation of the function described.
12. A quadratic function with a vertical stretch by a factor of 5, a horizontal translation left 3 units, and a vertical
translation down 4 units. ___________________________________
1
13. A cubic function with a vertical shrink by a factor of 4, a reflection over the x-axis., and a vertical translation up
3 units. ___________________________________
1
14. An exponential function with base 2, a vertical stretch by a factor of 3, and a horizontal translation right 7 units.
___________________________________
Analyzing Graphs Practice
Domain:
15.
Function
Range:
Name:
x-intercept:
___________
y-intercept:
Increasing:
Decreasing:
Minimum or Maximum:
End Behavior:
Domain:
16.
Range:
Function
Name:
___________
x-intercept:
y-intercept:
Increasing:
Decreasing:
Minimum or Maximum:
End Behavior:
Domain:
17.
Range:
Function
x-intercept:
Name:
___________
y-intercept:
Increasing:
Decreasing:
Minimum or Maximum:
End Behavior:
Even/Odd Neither Practice
For #18-24, tell whether the function is even, odd, or neither. You MUST show work for 18-20 & explain your answer.
18.
𝑓(𝑥) = −𝑥 3 − 2𝑥
19. 𝑓(𝑥) = 2𝑥 4 + 𝑥 3 − 5
21.
20. 𝑓(𝑥) = 3𝑥 2 + 7
22.
23. We call 𝑓 an even function if 𝑓(𝑥) = _________
24. We call 𝑓 an odd function if 𝑓(𝑥) = _________
Average Rate of Change Practice
For #25-28, find the average rate of change of the given function over the interval. Show work!
25.
f ( x)  x 2  1
from −2 ≤ 𝑥 ≤ 0
26. f ( x)  5x  2 from 2 ≤ 𝑥 ≤ 4
27. Using the graph, from −4 ≤ 𝑥 ≤ 0
28. Using the graph, from 0 ≤ 𝑥 ≤ 2
Analyzing the Graph
29. Domain of f(x).
30. Range of f(x).
31. x-intercepts.
32. Absolute minimum value.
33. Absolute maximum value
34. f(4) – f(-4)
35. f(-4) + f(6)
36. 4f(6)
37-39
40.
Exponential Growth and Decay
The value (V) of a new car will depreciate by 14% each year for the first 3 years. Use the formula below to answer
questions #29-30 with x representing time in years.
𝑽 = $𝟐𝟑, 𝟎𝟎𝟎(. 𝟖𝟔)𝒙
29. What is the initial value of the brand new car?
30. How much is the car worth after 3 years?
31. Use the information above to draw a rough sketch of the graph of this function.
(Remember to label your axes)
Scientists have discovered a new strain of bacteria. The bacteria (B) are doubling every hour. Use the formula
below to answer questions 32-35 with x representing time in hours.
𝑩 = 𝟓𝟎 × 𝟐𝒙
32. What is the initial number of bacteria?
33. How many bacteria are there after 4 hours? 12 hours? 1 day?
34. After how many hours will there be 25,600 bacteria?
35. Use the information above to draw a rough sketch of the graph of this function.
(Remember to label your axes)
Compound Interest
Formula
Write the Compound Interest formula in the box on the right.
Use the formula to answer questions #36-37.
36. Your grandparents put $2000 in a savings account when you were born. The account earns 8% interest
compounded annually. How much money is in the account when you turn 21?
37. At graduation, you put the $3200 you received as gifts from family and friends and the $4000 you have saved
from working your summer job into a savings account that earned 5.5% interest compounded quarterly. 10 years
after graduation, how much money will you have in the savings account?