Lesson 8.5 â Write and Graph Exponential Growth An ...
Lesson 8.5 – Write and Graph Exponential Growth
An exponential Function is a function of the form the initial value, or the value of
when
the growth factor
Exponential functions are nonlinear functions.
Observe how an exponential function compares with a linear function. Linear Function:
Exponential function:
Write a rule for the function
Write a rule for the function
Graph the exponential function and identify the domain and the range.
Domain:
Range:
Exponential growth – when a quantity increases by the same percent over equal time periods.
The owner of an original copy of a comic book for
in
comic book sold it at an auction in
. The value of the comic book increased at a rate of
. The owner bought the per year.
a) Write a function that models the value of the comic book over time.
b) What was the approximate value of the comic book at the time of the auction in answer to the nearest dollar.
? Round your
Compound Interest – is interest earned on both an initial investment and on previously earned interest. is the initial investment is the annual interest rate is the number of years the money is invested.
You put
in a savings account that earns
interest compounded yearly. You do not make any deposits
or withdrawals. How much will your investment be worth in
years?
An exponential Function is a function of the form the initial value, or the value of
when
the growth factor
Exponential functions are nonlinear functions.
Observe how an exponential function compares with a linear function. Linear Function:
Exponential function:
Write a rule for the function
Write a rule for the function
Graph the exponential function and identify the domain and the range.
Domain:
Range:
Exponential growth – when a quantity increases by the same percent over equal time periods.
The owner of an original copy of a comic book for
in
comic book sold it at an auction in
. The value of the comic book increased at a rate of
. The owner bought the per year.
a) Write a function that models the value of the comic book over time.
b) What was the approximate value of the comic book at the time of the auction in answer to the nearest dollar.
? Round your
Compound Interest – is interest earned on both an initial investment and on previously earned interest. is the initial investment is the annual interest rate is the number of years the money is invested.
You put
in a savings account that earns
interest compounded yearly. You do not make any deposits
or withdrawals. How much will your investment be worth in
years?
