Exponential Function When A Is Greater Than 1

Determine if the graph represents growth or decay. Also determine the value of a for its equation.

• decay, 3

• decay, 1

• growth, 1

• growth, 3

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

• Y-INTERCEPT (also the initial amount)

• GROWTH OR DECAY FACTOR

What is the initial amount, for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

• Exponential Growth

• Exponential Decay

• Linear

• None of the above

Create the exponential function with the following attributes:

Asymptote: y = 0

Initial value: 3

Point on the graph: (2, 6)

Growth

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?

A shipping company started with 40 employees. The number of employees at the shipping company increases at a rate of 7.5% each year.

Which function can be used to model the number of employees, f(x), at the shipping company after x years?

​ (a)  

If y = ab^x represents an exponential growth function, what are the possible values of b?

• b = 1

• b > 1

• b < 0

• 0 < b < 1

If y = ab^x represents an exponential decay function, what are the possible values of b?

• b = 1

• b > 1

• b < 0

• 0 < b < 1