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- 1. Multiple Choice
What type of function is f(x)=2(1/7)x ?
Exponential Growth
Linear
Exponential Decay
None of the Above
- 2. Multiple ChoiceWhat type of function is y = 7(5/4)x?Exponential GrowthExponential DecayLinearNone of the above
- 3. Multiple Choice
Is the pictured graph growth, decay, or linear or none?GrowthDecayLinearNone - 4. Multiple ChoiceIs the pictured graph growth, decay, or linear or none?GrowthDecayLinearNone
- 5. Multiple ChoiceWhat is the y-intercept of the function?231-2
- 6. Multiple Choice
What is the asymptote of the graph?
x=2
y=-2
y=0
y=-1
- 7. Multiple ChoiceAsymptote?y = 4y = 0x = 4y = 5
- 8. Multiple ChoiceWrite an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.y=6(0.14)xy=6(1+14)xy=6(1.14)xy=6(0.86)x - 9. Multiple ChoiceWhich of the following functions shows an initial amount of $15 and an increase of 35% each year?y = 15(35)xy = 15(1.35)xy = 15(0.35)xy = 35(1.15)x
- 10. Multiple ChoiceSuppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.y=5000(0.7)xy=30(5000)xy=5000(1.3)xy=5000xx
- 11. Multiple ChoiceWhat is the common ratio for the sequence:
28, 14, 7, 3.5...21/2-14-7 - 12. Multiple ChoiceWhat is the common ratio for the sequence:
3, 15, 75...121/55 - 13. Multiple ChoiceWhat is the explicit rule for the sequence:
11, 22, 44, 88...an = 2(11)n-1an = 11x2an = 11(2)n-1 - 14. Multiple Choice
Using the parent function f(x) = 0.4x, which function describes a transformation of f(x) moving up 5 units?
f(x) = 0.4x + 5
f(x) = 0.4x - 5
f(x) = 5(0.4)x
f(x) = 0.4(5)x
- 15. Multiple Choice
which function shows a shift to the right one unit?
f(x)=2x-1
f(x)=2x+1
f(x)=2x
f(x)=2x+1
- 16. Multiple ChoiceWhat equation would yield a transformation right 3 units if your initial function was y=2xy=2x-3y=2x+3y=2x+3y=2x-3
- 17. Multiple Choice
What transformations occur?
translate right 3, up 2
translate left 3, up 2
translate left 3, down 2
translate right 3, down 2
- 18. Multiple ChoiceThe value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?y=8(15,000)xy=15,000(1 + .08)xy=15,000(1 - .08)xy=15,000(0.08)x
- 19. Multiple Choice
Write an exponential function for the table below
x y
0 3
1 6
2 12
3 24
y = 3(2)x
y = 2(3)x
y = 3(3)x
y = 2 (1/3)x
- 20. Multiple Choice
Write an exponential function for the table below
x y
0 32
1 16
2 8
3 4
y = 32(1/2)x
y = 32(2)x
y = 4(2)x
y = 4 (1/2)x
- 21. Multiple Choice
Write an exponential function for the table below
x y
0 0.7
1 2.1
2 6.3
3 18.9
y = 0.7(3)x
y = 0.7(1/3)x
y = 0.7(1.4)x
y = 0.7(2)x
- 22. Multiple Choice
Write an exponential function for the table below
x y
0 125
1 25
2 5
3 1
y = 125(1/5)x
y = 125(5)x
y = 1(5)x
y = 5(125)x
- 23. Multiple ChoiceDetermine whether the sequence is arithmetic, geometric, or neither.arithmeticgeometricneither
- 24. Multiple ChoiceFind the common ratio for the geometric sequence.101/224
- 25. Multiple ChoiceWrite the explicit formula for the geometric sequence.an = 10(2)n-1an = 2(10)n-1an = 10(2)nan = 2(10)n
- 26. Multiple Choice
What is the sixth term of the following sequence?
an = 1/3(2)n-1
4.08
32.43
10.67
10
- 27. Multiple Choice
What is the recursive rule for the sequence:
-2, 12, -72, 432, ...
an = -2(-6)n-1
a1=-2
an =an-1 + 10
a1=-2
an = -6⋅an-1
a1=-2
an = a(n-1) - 6
a1=-2
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