Suppose that f is an exponential function with a percentage growth rate of 2% , and with
a)
b)
c)
d)
e)
Suppose that f is an exponential function with a percentage growth rate of 2% , and with
a)
b)
c)
d)
e)
We have to find formula for f if growth rate is 2% and
Definition of exponential function:
An exponential growth or decay function is the function which grows or shri
at some condition of growth percentage,
so equation of exponential function can be expressed as:
Here,
a is the initial value
r is the growth or decay rate written in decimal
b is the factor of growth or decay
According to question,
=
so,
Step 2
Taking variable as t,
Therefore,
Given,
putting
After putting value of a we can write the formula for f,
Hence, option c) is correct.
State whether the equation represents exponential growth, exponential decay, or neither.
The number of teams y remaining in a single elimination tournament can be found using the exponential function
a. Determine whether the function represents exponential growth or decay. Explain.
b. What does 128 represent in the function?
c. What percent of the teams are eliminated after each round? Explain how you know.
d. Graph the function. What is a reasonable domain and range for the function? Explain.