Answer:
See example below.
Explanation:
If the function has the table:
x f(x)
-3 -6
-2 -4
-1 -2
0 0
Step 1 : Looking at the table, find a pattern. This table f(x) deceases by 2 each time. This is a constant rate of change called slope.
Step 2: Recognize the pattern. Since it is decreasing by 2 each time, this is a linear function. Its equation can be written using y = mx+b.
Step 3: Use the form, y =mx + b and substitute m and b.
Step 4: The slope is m . The slope is -2. m = -2.
Step 5: Find the y-intercept. b is the y-intercept or starting point where x = 0. When x=0, the table shows y=0. So b=0.
This means the rule is y = -2x.