Determine whether the function given by the table is linear, exponential, or neither. If the function is linear, find a linear function that models the data. If it is exponential, find an exponential function that models the data.
x f(x)
-1 8/7
0 8
1 56
2 392
Determine whether the function given by the table is linear, exponential, or neither. If the function is linear, find a linear function that models th
Mylo O'Moore
2021-05-01
Answered
You can still ask an expert for help
Expert Answer
lobeflepnoumni
Answered 2021-05-02
Author has 99 answers
The function is linear if there is a common difference between the y-values for a constant increase in the z-values while the function is exponential if there is a common ratio between the y-values for a constant increase in the z-values.
Since there is a common ratio of 7 between the y-values for « constant increase of 1 in the x-values, then the function is exponential.
Use the exponential model
where a is the initial value (where x= 0) and & is the common ratio. Substitute a = 8 and b= 7 so:
or
Since there is a common ratio of 7 between the y-values for « constant increase of 1 in the x-values, then the function is exponential.
Use the exponential model
where a is the initial value (where x= 0) and & is the common ratio. Substitute a = 8 and b= 7 so:
or
Not exactly what you’re looking for?
This is helpful
You might be interested in
asked 2021-02-25
The population of California was 29.76 million in 1990 and 33.87 million in 2000. Assume that the population grows exponentially.
(a) Find a function that models the population t years after 1990.
(b) Find the time required for the population to double.
(c) Use the function from part (a) to predict the population of California in the year 2010. Look up California’s actual population in 2010, and compare.
(a) Find a function that models the population t years after 1990.
(b) Find the time required for the population to double.
(c) Use the function from part (a) to predict the population of California in the year 2010. Look up California’s actual population in 2010, and compare.
asked 2020-11-03
The exponential models describe the population of the indicated country, A, in millions, t years after 2010.Which country has the greatest growth rate? By what percentage is the population of that country increasing each year?
India,
Iraq,
Japan,
Russia,
asked 2022-01-31
How do you write y=3x-8 in standard form?
asked 2022-06-01
logarithmic derivative of
I'm having a hard time taking the derivative of
I'm aware that I have to take the logarithm of both sides.
Which I tried to untie, so lets start: First I use the product rule:
Next the power rule:
Then I bring the y to the right:
And exchange y with the term:
This is extremely overwhelming for me and I have absolutely no clue if this is right, I looked in to the result of wolfram and It doesn't seem to be correct. Any help would be appreciated.
I'm having a hard time taking the derivative of
I'm aware that I have to take the logarithm of both sides.
Which I tried to untie, so lets start: First I use the product rule:
Next the power rule:
Then I bring the y to the right:
And exchange y with the term:
This is extremely overwhelming for me and I have absolutely no clue if this is right, I looked in to the result of wolfram and It doesn't seem to be correct. Any help would be appreciated.
asked 2022-02-08
How do you multiply 4(3x+1)(x-2)?
asked 2021-02-23
Determine whether the sequence is arithmetic. If so, identify the common difference 11, 10.2, 9.4, 8.6, 7.8, …
asked 2022-06-24
logarithms equations,
Hello I have following problem: solve equation and I rewrited this equation as
and I solved this equation, but I obtained only two solutions and there should be four, so I wonder if it is necessary to create or is a simplier way.
Hello I have following problem: solve equation and I rewrited this equation as
and I solved this equation, but I obtained only two solutions and there should be four, so I wonder if it is necessary to create or is a simplier way.
