Melinda has shown that a function, f(x), increases by 4 for every unit in the domain. what does this prove?

the function f(x) is an arithmetic sequence.

the function f(x) is a geometric sequence.

the function f(x) is not a sequence.

this does not prove anything.

Option 1 is correct that is the function f(x) is an arithmetic sequence.

Step-by-step explanation:

We have been given the information that function is increasing by 4 for every unit in the domain.

That means difference between the consecutive terms will be same that is common difference exists

For example:

we have a function f(x)=x

Since, it is increasing by 4 for every unit means function becomes x,x+4,x+4+4

The common difference is 4.

Hence, the function f(x) is an arithmetic sequence.

therefore, option 1 is correct.

By definition, we have to:

An arithmetic sequence is a sequence of numbers that increases or decreases by a constant amount each term.

We can write a formula for the term n of an arithmetic sequence in the form:

an = d * n + c

Where,

n: domain variable

c: initial value

d: constant term.

For this case we have:

an = 4 * n + c

The function f (x) is an arithmetic sequence.

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step-by-step explanation: