Laws of Exponential Functions

• 9a⁸ / 4b²
• 9b² / 4a⁸
• 9a⁴b⁶ / 4
• 9a⁴ / 4b²

A population of 2000 fish increases at a rate of 7.5%. How many fish will there be in 10 years? a=​ ​ (a)   b=​ (b)   x=​ (c)   #fish =​ (d)  

• 2000

• 1.075

• 10

• 4122

• 0.925

• 917

• 120

• (0,1)

• (1,0)

• (0,a)

• (a,0)

Create the exponential function with the following attributes:

Asymptote: y = 0

Initial value: 3

Point on the graph: (2, 6)

Growth

Solve the equation for x.

• 7.389

• 0.693

• 0.0183

• 6.581

A shipping company started with 40 employees. The number of employees in the shipping company increases at a rate of 7.5% each year. What function can be used to model the number of employees, f(x), in the shipping company after x years?

Which of the following functions matches this graph?

Consider the function values given in three tables. Based on the tables, which of the following statements are true?

• g(x) and h(x) represent exponential growth

• f(x) represents exponential decay

• the values of h(x) will eventually exceed those of g(x)

• the common multiplier for f(x) is 0.1

• the common multiplier for g(x) is 1.1