Given : A marine biologist is studying the growth of a particular species of fish
: When the marine biologist concluded her study, the length of the fish was approximately 9.19 cm
To Find : reasonable domain to plot the growth function
What does the y-intercept of the graph of the function f(m) represent?
average rate of change of the function f(m) from m = 1 to m = 9,
Solution:
m = 0
=> f(0) = 5(1.07)⁰ = 5 cm
the length of the fish was approximately 9.19 cm.
=>
=>
=> m = 9
Domain = [0 , 9 ]
reasonable domain to plot the growth function = [0 , 9 ]
y-intercept of the graph of the function f(m) represent represent initial length of fish = 5 cm
average rate of change of the function f(m) from m = 1 to m = 9
m = 1 => f(1) = 5(1.07) = 5.35 cm
m = 9 => f(9) = 5(1.07)⁹ = 9.19 cm
Change in 9 - 1 = 8 months = 9.19 - 5.35 = 3.84 cm
average rate of change of the function f(m) from m = 1 to m = 9,
= (3.84/8)
= 0.48 cm per month
Answer:
0,025
Step-by-step explanation:
simply devide by 100,2,5% is out of 100%
Answer:
f(x) = 8x^6 + 1
Step-by-step explanation:
We want to examine which polynomial function grows larger and larger as the negative variable rises. We'll see that option d is correct: f(x) = 8x6 + 1
There are two things to keep in mind here.
The polynomial grows quicker as the exponent increases.
When a negative integer is evaluated with an even exponent, the result is always positive.
Then all the polynomials with an even leading exponent become larger and larger as x grows in the negative direction, especially the one with the biggest leading exponent, which is:
Step-by-step explanation:
Please see the photo for the method