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c) f(x)=3x+1

Step-by-step explanation:

the graph of this function, g(x), is y=3x-1, we know this because the slope is 3 and the y intercept is -1.

finding slope:

subtract the y values and x values and then divide.

y2-y1/x2-x1=2+1/1-0

=3/1

slope=3

finding the y intercept:

more of a visual task, find where the line intersects on the y axis. in this case, it is at -1

plug it in:

next all you have to do is plug this into slope intercept form (y=mx+b), where m is slope and b is y intercept.

y=3x-1

making f(x) from g(x):

all you have to do is add 2 to the y intercept because the question says f(x) is 2 units above g(x).

y=3x-1+2

y=3x+1

hope this helps!

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