Sequences and Exponential Functions

4⁰ = ?

• 0

• 1

• 4

• 40

Is this a linear function, exponential function, or neither?

• Linear Function

• Exponential Function

• Neither

Is this a linear function, exponential function, or neither?

• Linear function

• Exponential function

• Neither

La Monte starts out with 2 pet rabbits. Every year, the number of La Monte's rabbits grows by a factor of 6. Write a function to represent the number of La Monte's rabbits, R(t), after t years.

Write the equation that represents the table below:

• y=1/2(4)^x

• y=2(4)^x

• y=4(2)^x

• y=4(1/2)^x

Find the common ratio: 4, -16, 64, -256, ...

• r = -4

• r = 2

• r = -2

• r = 4

Write an explicit rule for the general term of the sequence 5, 15, 45, . . . ?

• a_n = a_n-1 x 3

• a_n = 5(3)^n-1

• a_n = 3(5)^n-1

• a_n = 5 + (n-1)3

What type of function is f(x)=2(1/7)^x ?

• Exponential Growth

• Linear

• Exponential Decay

• Quadratic

In an exponential function y = ab^x, what does the 'a' represent? 

• slope

• rate of change

• y-intercept

• common ratio

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

• y=5000(0.7)^x

• y=30(5000)^x

• y=5000(1.3)^x

• y=5000x^x