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.

-The function f(x) is an arithmetic sequence.

Explanation:-

Let be the initial value

According to the question

 and so on

Thus, we can write a formula for the term n of an arithmetic sequence in the form:

where, n=1,2,3,4,....

4= common difference

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

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step-by-step explanation:

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one way is to plot 2 points and connect them which is what the answer choices seem to be doing

it seems to be using the y intercept and the slope

y=mx+b, m=slope, b=y-intercept (where the line hits the y axis)

slope=rise/run

y-intercept is where the line croses the y axis which is the y value where x=0

you seem to have given the wrong slope (you didn't put a number in front of te x, it should be 2/3 or 3/2 looking at the answer options)

y=? x-1

m=? because of your fault

b=-1

so it has a slope of ? and y intercept of -1, meaning it pases through (0,-1)

so draw point (0,-1) (so answer is one of the first 2 option)

if slope is 2/3, then go up 2 and right 3 then draw line through those 2 points

if slope is 3/2, then go up 3 and right 2 then draw line through those 2 points