Exponential Equations and Geometric Sequences

When do we have growth?
f(x) = (a)(b^x)

• a < 1

• b > 1

• 0 < b < 1

• a > 1

Which function represents the table of values? 

• f(x) = 4x

• f(x) = x³

• f(x) = 4^x

• f(x) = 4^x-1

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

• ^.08

• ^1.08

• .92

• 8

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

• arithmetic

• geometric

• neither

Is the sequence 2, 4, 12, 48,... geometric?

• yes

• no

What kind of shift happens with this function?

• 4 points up

• 4 points to the left

• 4 points to the right

• 4 points down

What is the transformation?

• Vertical Translation up 2 and Horizontal translation right 1

• Vertical Translation down 2 and Horizontal Translation left 1

• Horizontal Translation left 2 and Vertical Translation up 1

• Horizontal Translation right 2 and Vertical Translation down 1

Find the rate of change

• 1

• 2

• 11

• Not a constant slope/Non-Linear

Consider the geometric sequence 6, 24, 96, 384, ….
Choose True or False for each statement.
The explicit rule is f (n) = 6 (4)^n-1 .

• True

• False

Write a recursive rule and an explicit rule for each geometric sequence, and then find the next

three terms. 2, 8, 32,… Just place the next three terms separated by a comma.