Exponential Functions Review

Identify the common difference.
3, 7, 11, 15, ...
Show all work.

• 6
• 5
• 4
• 2

Create the explicit formula for the sequence:
2, 8, 14, ...
Show all work. (Hint:  Write your formula and then simplify it.)

• a_n=2+6n
• a_n=-6+6n
• a_n=6n-4
• a_n=4-6n

What is the common ratio for the sequence:
28, 14, 7, 3.5...
Show all work.

• 2
• 1/2
• -14
• -7

Given the sequence:
125, 25, 5, ....
Write the explicit rule:
Show all work.

•  f(n) = (125)(5)⁽ⁿ⁾
•  f(n) = 625(1/5)⁽ⁿ⁾
•  f(n) = 625(5)⁽ⁿ⁾
•  f(n) = 125 + 5n

Is the pictured graph growth, decay, or linear or none?  

• Growth
• Decay
• Linear
• None

In an exponential function, what does the 'b' represent? 

• SLOPE
• RATE OF CHANGE
• STARTING VALUE
• GROWTH/DECAY FACTOR

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
Show all work.

• y = 15(35)^x
• y = 15(1.35)^x
• y = 15(0.35)^x
• y = 35(1.15)^x

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?
Show all work.

• $23,219.72
• $136.72
• $51,710.94
• $16,710.94

Tags

CCSS.HSF.BF.A.2

Which color functions is exponential?

• Blue
• Green
• Red
• Yellow

You put your money into a savings account that earns 8% interest compounded annually.  If you originally invested $1,240, how much is in your account after 2 years?
Show all work.

• $1,438.40
• $1297.94
• $1,446.34
• $4017.60