Question

Write a function rule for the table.

f(x) = x + 1

f(x) = x

f(x) = –1 – x

f(x) = x –1

Answer 1

I assume one of the four options is the correct answer...

Remember that in order to determine if a function rule is correct, you should be able to plug an x value into the equation and get the corresponding y value as the answer.

The first option, f(x) = x + 1, is correct!

Answer 2

Answer: The correct option is (A) f(x) = x + 1.

Step-by-step explanation: We are given to write a function rule for the following table :

x -1 0 1 2

f(x) 0 1 2 3

From the given table, we see that

`f(-1)=0=-1+1,\\\\f(0)=1=0+1,\\\\f(1)=2=1+1,\\\\f(2)=3=2+1.`

Therefore, the required function rule is given by

`f(x)=x+1.`

Thus, option (A) is CORRECT.