Question: 1. (Exponential Functions MC) The table represents an exponential function. x -3 -2 -1 0 1 2 3 y 1 9 81 729 Does the
1.
(Exponential Functions MC) The table represents an exponential function.
| x | -3 | -2 | -1 | 0 | 1 | 2 | 3 |
|---|---|---|---|---|---|---|---|
| y | 1 | 9 | 81 | 729 |
Does the function in the table represent growth or decay? (2 points)
| The function represents exponential growth because the base equals. | |
| The function represents exponential decay because the base equals. | |
| The function represents exponential growth because the base equals 9. | |
| The function represents exponential decay because the base equals 9. |
2.
(Exponential Functions LC) An exponential function in the formf(x) =abx+kis given. What is the value of the vertical shiftk? (2 points)
| 2 | |
| -2 |
3.
(Exponential Functions LC) An exponential function in the formf(x) =abx+kis given. What is the value of the vertical shiftk? (2 points)
| -4 | |
| 4 | |
4.
(Exponential Functions MC) A graph of the exponential functionf(x) is given. Write the equation to representf(x). (2 points)
| f(x) = 3x | |
| f(x) = -3x | |
5.
(Exponential Functions MC) A deposit of $100 is placed in a savings account. Each month, the amount deposited is doubled. Write the function that models the exponential change between the number of months,t, and the amount of money deposited in the savings account,a(t). (2 points)
| a(t) = 2100t | |
| a(t) = 1002t | |
6.
(Exponential Functions MC) An adult takes 600 milligrams (mg) of ibuprofen. Each hour, the amount of ibuprofen in the person's system decreases by one-third. Write the function that models the exponential change between the number of hours,t, and the number of milligrams of ibuprofen remaining in the person's system,m(t). (2 points)
| m(t) = 6003t | |
| m(t) = -6003t |
7.
(Exponential Functions MC) An adult takes 500 milligrams (mg) of ibuprofen. Each hour, the amount of ibuprofen in the person's system decreases by one-fifth. Write the function that models the exponential change between the number of hours,t, and the number of milligrams of ibuprofen remaining in the person's system,m(t). (2 points)
| m(t) = 5005t | |
| m(t) = -5005t | |
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