help please....?

Question

find a linear or quadratic model for the function.

f(2)=2
f(n)=f(n-1)+3

Answer 1

From the second equation: As n increases by 1, f(n) increases by 3. That's a constant rate of change, so this is a linear function, of the form y = 3x + b

From the first equation: 2 = 3*2 + b, so b = -4.

Your equation is y = 3x - 4.

Answer 2

Well, first we need a couple more points:

f(2) = 2
f(3) = f(3-1) + 3 = f(2) + 3 = 2 + 3 = 5
f(4) = f(4-1) + 3 = f(3) + 3 = 5 + 3 = 8

OK, we can see that this is just going up by 3 every time, so it will be a LINEAR model. Since it's going up by 3 each time you vary it by one, the slope should be 3, but let's check with the slope formula by using the first two points:

point 1 = (2,2)
point 2 = (3,5)
m = (y2 - y1) / (x2 - x1)
m = (5 - 2) / (3 - 1)
m = 3/1 = 3

So, let's use point slope form:

y - y1 = m (x - x1)
==> plug in (2,2) and m = 3
y - 2 = 3(x - 2)
==> distribute
y - 2 = 3x - 6
==> add two to both sides

y = 3x - 4
_______

Answer 3

y=3x-4

Answer 4

I would help you if i could but i have no idea what you are talking about!!