1: If g(x) =2^(x+3)-1 is a tranformation of f(x) =2^x, then g(x) is Answers: Shi
ID: 3342243 • Letter: 1
Question
1: If g(x) =2^(x+3)-1 is a tranformation of f(x) =2^x, then g(x) is
Answers:
Shifted right 3 units and down 1 unit
shifted up 3 units and left 1 unit
shifted left 3 units and down 1 unit
shifted up 3 units and right 1 unit
none of these
2: If g(x) =-2^x + 5 is a transformation of f(x) =2^x, then g(x) is
Answers:
shifted left 5 units and down 1 unit
reflected over the x-axis and shifted up 5 units
shifted right 5 units and down 1 unit
reflected over the y-axis and shifted up 5 units
none of these
3: If g(x) = 2^(-x) - 7 is a transformation of f(c) =2^x, then g(x) is
Answers:
shifted left 1 unit and down 7 units
shifted right 1 unit and down 7 units
reflected over the x-axis and shifted down 7 units
reflected over the y-axis and shifted down 7 units
none of these
4: If g(x) = -2^(4-x) is a transformation of f(x) =2^x, then g(x) is
Answers:
reflected over the x-axis and shifted to the left 4 units
reflected over both the x-axis and y-axis and shifted to the right 4 units
reflected over both the x-axis and y-axis and shifted to the left 4 units
reflected over the y-axis and shifted to the left 4 units
none of these
5: $2100 is invested at a rate of 7% compounded monthly. What is the balance at the end of 10 years?
Answers:
$4220.29
$4520.29
$5220.29
$6220.29
$2220.29
6: $3500 is invested at a rate of 9% compounded continuously. What is the balance at the end of 18 months
Answers:
$4220.29
$4005.88
$5005.88
$4000.88
$2005.88
7: $1500 is invested at a rate of 8% compounded quarterly. What is the balance at the end of 5 years?
Answers:
$1624.67
$2237.74
$2228.92
$2226.04
$4005.88
8: Determine the amount of money that should be invested at a rate of 8% compounded quarterly to produce a final balance of $20,000 in 10 years.
Answers:
$16,406.97
$9057.81
$19057.81
$19000.81
$9570.81
9: A certain population increases according to the model p(t) =250e^(0.47t). Use the model to determine P(5). Round your answer to the nearest integer.
Answers:
40
1597
1998
2621
2821
10: The domain of f(x) = 3 - e^x is
Answers:
(3,infinity)
(0,infinity)
(-infinity,infinity)
(-infinity,3)
(-3,3)
Explanation / Answer
1) answer is c your original function is 1 at x=0and to make the term zero in the transformation u need to put x=-3 and it is clear that it has shifted by 1 unit.
2) the answer is b since the value of g(x) is becoming negative and is increasing by 5 units.
3) the answer is d since x is becoming -x and is subtracted by 7
4)answer is b since the logic is same as in first case and x is becoming -x and g(x) is becoming negative.
5) the answer is a the formula is amount=p(1+r/n)^t*n where t=no.of years,n=no.of times it is compounded in a year in this case n=12 ,t=10 and r=0.07; where p=2100.
6) answer is b since when it is compounded continuously the formula is pe^rt where r and t have the same notations as mentioned above and e=2.718.
7)answer is c using the same formula as in the 5th question but substituting n=4 and r=0.8 and t=5. p=1500.
8)the answer is b we need to do the reverse of the equation in the 5th question we have amount=20000 and n=4 and r=0.8 and t=10.we need to find p.
9)If P(5) indicates population at 5th year answer is d which can be done by directly substituting t=5 . but if it represents the cumulative sum over the five years answer should be 6324 because it is a geometric progression
10) the answer is c since the domain is range of x which does not have any bounds.so it can lie between (-infinity,infinity)
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