functiion table for f(x) =3x-2

Question

How do I arrive at a table for f(x) = 3x-2

Answer 1

First, Select values for x that you want to plug into the function

Let's try X = -2,-1,0,1,2.

 

Sets up the table like this

 

 X       Y

----------

 -2

-1

0

1

2

 

 

Now you find what the Y value is for each value

 of X that you have picked by plugging that number

 into the function.

 

So for x=-2,  f(-2) = 3(-2) - 2 = -6-2 = -8

    for  x=-1  f(-1) = 3(-1) - 2 = -3 - 2 = -5

   for x=0, f(0) = 3(0) - 2 = 0 - 2 = -2

  for x=1, f(1) = 3(1) - 2 = 3-2 = 1

  for x = 2, f(2) = 3(2) - 2 = 6-2 = 4

 

Based on these calculations, the completed table looks like this:

X     Y
----------
-2 -8
-1 -5
0 -2
1  1
2  4

 

When you graph these ordered pairs

on your graph paper, they line up

Answer 2

Pick numbers for x, like 0.

 

f(0) = 3(0) - 2

f(0) = -2

 

(0, -2)

 

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

f(-1) = -3 - 2

f(-1) = -5

 

(-1,-5)

 

You got this.