Does this table represent an exponential function? x y 0 4 1 1 - - PowerPoint PPT Presentation

x y

4 1 12

Does this table represent an exponential function?

1 12 2 36 3 108

x y

4 1 12

What is the general equation

• f this exponential function?

1 12 2 36 3 108

2

2 14

+

=

x

2 14

A bank advertises a college investment fund that has a 6.7% APR that is compounded quarterly. Write an exponential function that models the balance of an account with an initial investment of $5,000 as a function of time in years.

• Mr. Ward bought his car for $15,000. The value of Mr.

Ward’s car will depreciate by 9% per year. Write an exponential function that models the value of Mr. Ward’s car as a function of time in years.

• Mr. Ward bought his car for $15,000. The value of Mr.

Ward’s car will depreciate by 9% per year. Write an exponential function that models the value of Mr. Ward’s car as a function of time in years. Same function! When will Mr. Ward’s car be worth $8,000?

Suppose that today you invest some money into a savings account that grows to the amount in t years.

10 /

2 1000 ) (

t

t A ⋅ =

A) How much money did you invest? B) How long will it take to double your money?

Find the exponential function f such that: f(0) = 3 f(1) = 15

A bacteria triples every 12 days. The population is P0. What will the population P(t) be after t days?

Johnny invests $6000 in a savings account that earns 6% interest compounded continuously. How much will be in his account after 3 years? Round to the nearest dollar.

The newly discovered element Umadbromiam has a half-life of 17 days. Write the function that models the amount of the element left after t days. Let A0 represent the initial amount of umadbromiam.

What is the domain and range of the graph of:

x

y 3 4⋅ =

y = 3x