Units 9/10 Test Review
1. Which equation corresponds to the graph shown? a. y = 2! + 2
b. y =
c. y = 2! – 2
d. y =
! !
!
! !
!
–2
+2
2. What type of function is shown in the graph?
a. Linear
b. Quadratic
c. Exponential
d. Absolute Value
3. What is the domain of the function in the graph?
a. all real numbers
b. x > 0
c. x > 0
d. x < 0
4. What is the range of the function in the graph?
a. all real numbers
b. y > -2
c. y > -2
d. y < 2
5. What is the y-intercept on the graph shown? !
a. !
b. 1 c. 0 d. -­‐1 6. What is standard form of an exponential function? a. y = a(1+r)t b. y = abx c. y = a(1-­‐ r)t d. 𝐴 = 𝑃(1 + !)nt 7. What is the formula for exponential growth? a. y = a(1+r)t b. y = abx c. y = a(1-­‐ r)t d. 𝐴 = 𝑃(1 + !)nt 8. What is the formula for exponential decay? a. y = a(1+r)t b. y = abx c. y = a(1-­‐ r)t d. 𝐴 = 𝑃(1 + !)nt 9. What is the formula for compound interest? a. y = a(1+r)t b. y = abx c. y = a(1-­‐ r)t d. 𝐴 = 𝑃(1 + !)nt !
!
!
!
10. TOURNAMENTS A chess tournament starts with 16 people competing. The
! !
exponential function y = 16 ! describes how many people are remaining in the
tournament after x rounds. How many people are left in the tournament after 2. a. 4 b. 2 c. 8 d. 1 11. INVESTMENTS Determine the amount of an investment if $1000 is invested at an
interest rate of 8% compounded quarterly for 2 years. a. $1160.00 b. $1171.66 c. $1040.40 d. $1166.40 12. BIOLOGY If y = 10(2.5)! represents the number of bacteria in a culture at time t,
how many will there be at time t = 6? a. 2441 b. 244 c. 24 d. none 13. DEPRECIATION A $60,000 piece of machinery depreciates in value at a rate of
11% per year. About what will its value be in 5 years? a. $47,526 b. $42,298 c. $33,504 d. $37,645 𝑥 + 3 if 𝑥 < 0
? −2𝑥 + 1 if 𝑥 ≥ 0
b. {x | x ≥ 3} c. {x | x < 2} 14. What is the domain of f (x) =
a. {all real num.} !
d. 𝑥 | 𝑥 ≤ ! !
15. If f(x) = 2 𝑥 , find f − ! . a. –2
!
b. – !
!
c. 0
d. !
16. What is the range of y = | 3x + 1 | ? a. {all real num.}
b. {y | y ≥ 0}
c. {y | y ≥ 1}
!
d. 𝑦 | 𝑦 ≥ ! 17. Which is not true about the graph of f (x) = ⎪3x + 2⎥ ? a. The range includes all real numbers.
b. It includes the point (–3, 7).
c. The domain includes all real numbers. d. The graph is “V-shaped.”
!
18. Which point is located on the graph of f (x) =
!
!
!
a. (–3, 1)
b. (0, 1) 𝑥 + 2 if 𝑥 ≤ 1
𝑥 + 1 if 𝑥 > 1
c. (2, 0)
? d. (3, 3) 19. How does the graph of y = 𝑥 + 2 compare to the parent graph? a. translated up 2
b. translated down 2
c. translated left 2
d. translated right 2
20. How does the graph of y = 𝑥 + 3 compare to the parent graph? a. translated up 3
b. translated down 3
c. translated right 3
d. translated left 3
21. Which expression has a domain of {x | x ≥ –1}? a. y = 𝑥 + 1
b. y = 𝑥 − 1
c. y = 𝑥 + 1
d. y = 𝑥 – 1
22. What is the equation of the graph? a. y = 𝑥 + 2 + 1 b. y = 𝑥 − 2 + 1 c. y = 𝑥 + 1 + 2 d. y = 𝑥 − 1 + 2 23. Determine which sequence is an arithmetic sequence. a. 3, 6, 12, 24, . . .
! ! !
!
b. !, !, ! , !!, . . . c. –7, –3, 1, 5, . . .
! !
d. –10, 5, – !, !, . . 24. Find the next three terms of the arithmetic sequence 5, 9, 13, 17, . . . a. 21, 23, 25
b. 21, 25, 29
c. 41, 45, 49
d. 21, 41, 61
25. Find the function that represents the relationship. a. y = 8x
b. y = 8x + 14
c. y = 14x + 8
d. y = 14x + 14
x
0
1
2
3
4
y
14
22
30
38
46
26. Which is the equation for the nth term of the geometric sequence –2, 8, –32, . . . ? a. 𝑎! = –2 ⋅ 4!
b. 𝑎! = 4 ⋅ (−2)!
c. 𝑎! = – 2 ⋅ 4! ! !
d. 𝑎! = – 2 ⋅ (−4)! ! !
27. What is the ninth term of the geometric sequence 3, 9, 27, . . .? a. 2187
b. 6561
c. 19,683
d. 59,049
28. Which equation represents exponential decay?
a. y = 0.5𝑥 !
b. y = 0.5𝑥 ! – x
c. y = 0.5(1 .07)!
d. y = 0.5(.87)! 29. Which equation represents exponential growth?. a. y = 5(0.84)!
b. y = 5x
c. y = 0.3𝑥 !
d. y = 5 (1.06)!
30. Look for a pattern in the table to determine which model
best describes the data. a. linear
b. exponential
c. quadratic
d. none of these
x
y
0
1
1
7
2
49
31. Which function best models the data in Question 30? a. y = 7x
b. y = 7𝑥 ! c. y = 7!
d. y = 7! + 1 32. Graph the set of ordered pairs: {(–3, 3), (–2, 0), (–1, –1), (0, 0), (1, 3)}. Determine
whether the ordered pairs represent a linear, quadratic, or an exponential function. a. linear
b. exponential
c. quadratic
d. none of these
3
343