Review Exponential Functions Geometric and Arithmetic Sequence

Does the graph show exponential growth, exponential decay, is it linear or is it none of these?

• Exponential Growth

• Exponential Decay

• Linear

• None

Which represents exponential decay?

• A

• B

• C

• D

Is the equation linear or exponential?

• Linear

• Exponential

• Neither

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write a function that represents this situation.

• f(x) =5000(0.7)^x

• f(x) =30(5000)^x

• f(x) =5000(1.3)^x

• f(x) =5000x^x

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential function?

• f(x)=8(15,000)^x

• f(x)=15,000(1.08)^x

• f(x)=15,000(0.92)^x

• f(x)=15,000(0.08)^x

Which of the following shows a function that starts at $15 and doubles every year?

• f(x) = 15(3)^x

• f(x) = 15(2)^x

• f(x) = 2(15)^x

• f(x) = (30)^x

Determine whether the sequence is arithmetic, geometric, or neither.

• arithmetic

• geometric

• neither

Determine whether the sequence is arithmetic, geometric, or neither.

• arithmetic

• geometric

• neither

Find the common ratio for the geometric sequence. (what are they multiplying by each time?)

• 10

• 1/2

• 2

• 4

Write the function that represents the geometric sequence 5, 15, 45, . . . ?

• f(n) = 5(10)^n-1

• f(n) = 5(3)^n-1

• f(n) = 3(5)^n-1

• f(n) = 5(10)ⁿ