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Mixed Review
Evaluating Exp. Functions
Exponential Growth
Exponential Decay
Exponential vs. Linear
100

Write an exponential function whose initial value is 13 and whose growth factor is 3.

f(x) = 13(3)^x

100

If f(x) = 10(2)x then which of the following represents the value of f(0) ? (1) 1 (2) 0 (3) 10 (4) 20

(3) 10

100

Which of the following is the equation of an increasing exponential function? 1) y = 4(0.75)x 2) y = 7(3/2)x 3) y = 5x - 2 4) y = 3x2

2) y = 7(3/2)^x

100

y = 9.8(0.35)t What is the decay rate and initial amount?

Initial amount= 9.8 and Decay rate= 0.35

100
Fill in the blanks: A linear function ____________ or ____________ by the same amount. An exponential function ____________ or ______________ by the same amount.
add/subtracts multiplies/divides
200

Solve the system of equations for y:

2y - x = 11

3y + x = 9

y = 4

200

Given the function f(x)= (3)(0.5)x Evaluate the function when x = -4

f(-4) = 48

200
You deposit $500 in a bank account with a 7% interest rate that is compounded yearly. How much money will you have in your account in 7 years, rounded to the nearest cent.
What is $802.89?
200
You buy a car for $10,000. It loses value at a rate of 34% per year. How much will your car be worth in 12 years? Round your answer to the nearest cent.
$68.32?
200

Ian is saving up to buy a new baseball glove. Every month he puts $10 into a jar. Which type of function best models the total amount of money in the jar after a given number of months? 1) linear 2) quadratic 3) exponential 4) square root

1) linear

300

Write an arithmetic sequence that has a first term equal to 7 and a common difference of 4.

a(n) = 7 + (n -1)4

300

The value in dollars, v(x), of a certain car after x years is represented by the equation v(x) = 25,000(0.86)x. To the nearest dollar, how much is the car worth after four years. 1) 2,589 2) 6,510 3) 13,675 4) 18,490

3) 13,675

300

The equation A = 1300(1.02)7 is being used to calculate the amount of money in a savings account. What does 1.02 represent in this equation? 1. 0.02% decay 2. 0.02% growth 3. 2% decay 4. 2% growth

4. 2% growth

300
You buy a car for $15,000. It loses value at a rate of 17% per year. Write a model to represent the car's value over time.
What is y = 15000(0.83)t?
300

Eric deposits $500 in a bank account that pays 3.5% interest, compounded yearly. Which type of function should he use to determine how much money he will have in the account at the end of 10 years? 1) linear 3) absolute value 2) quadratic 4) exponential

4) exponential

400

Subtract (3x2 - 5x + 7) from (5x2 - 13x + 20)

2x2  - 8x + 13 

400

What is the range of the exponential function y = 2x.

y > 0  (all positive real numbers) 

400
A population of 1,000 bacteria on the outside drinking fountain doubles in size every hour. How many bacteria will there be in one fourth of a day.
64,000 bacteria.
400

What is the rate of decrease each year as percent in a stock portfolio defined by the function: 

v(x) = 1300(0.88)x

12%

400

Create an exponential function and linear function for each option:

Option 1: An initial amount of 10 dollars that doubles over x months.

Option 2: An initial amount of 100 dollars that increases by 60 each month.

Option 1: f(x) = 10(2)x

Option 2: h(x) = 60x + 100