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

Mylo O'Moore

Answered question

2021-05-01

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

Answer & Explanation

lobeflepnoumni

lobeflepnoumni

Skilled2021-05-02Added 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 y=abx
where a is the initial value (where x= 0) and & is the common ratio. Substitute a = 8 and b= 7 so: y=8(7)x
or
f(x)=8(7)x

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?