Write a rule for the linear function in the table. x f(x) –3 –1 0 2 3 5 6 8 a. f(x) = x + 2 b. f(x) = 3x c. f(x) = x – 2 d. f(x) = x – 1

The answer is A.

Step-by-step explanation:

In this kind of exercise the usual way to solve it is s kind of trial an error. We evaluate f(x) in the given values of x and check if it corresponds with the values of f(x) in the table. If only one of the calculations does not correspond we dismiss the function.

Let us start our analysis from D. to A.

D.  In this case f(x) = x-1, then f(-3) = -3-1=-4, and the result does not correspond to the values of the table (recall f(-3)=-1).

C. The same idea: we have f(x)=x-2, then f(-3)=-3-2=-5, and the result does not correspond to the values of the table (recall f(-3)=-1).

B. Here f(x)=3x, then f(-3)=3*(-3)=-9, and the result does not correspond to the values of the table (recall f(-3)=-1).

A. Now f(x)=x+2, then f(-3)=-3+2=-1, and the result does correspond to the values of the table (recall f(-3)=-1). So, we need to check the next values of the table:

f(0)=0+2=2, f(3)=3+2=5 and f(6)=6+2=8.

As all the values are equal to those in the table, we conclude that A. is the correct answer.

i dont know sorry

step-by-step explanation: