Question

Write a function rule for the table. x ƒ(x) –3 –6 –2 –4 –1 –2 0 0

Answer 1

Answer:

y=-2x

Step-by-step explanation:

The function has the table:

x          f(x)

-3          -6

-2          -4

-1           -2

0            0

Looking at the table, f(x) deceases by 2 each time. This is a constant rate of change called slope. This is a linear function and its equation can be written using y = mx+b. m = -2. b is the y-intercept for starting point where x = 0. When x=0, the table shows y=0. So b=0.

This means the rule is y = -2x.