Question

Write a Function rule for the table.

Answer 1

f(x) = x + 3

when x = 0, f(x) = 3

when x = 1, f(x) = 1 + 3 = 4

when x = 2, f(x) = 2 + 3 = 5

when x = 3, f(x) = 3 + 3 = 6

answer is D

f(x) = x + 3

Answer 2

D.
`f(x)=x+3`

Explanation:

We have been given a table of values. We are asked to write a function rule for our given table.

We can see from our given table that
`f(0)=3`. This means that the y-intercept of our given function is 3.

We can see that with each increase in x, the value of
`f(x)` increases by 1.

`f(1)=4`

`f(2)=5`

`5-4=1`

This means slope of our given function is 1.

Upon substituting
`m=1` and
`b=3` in slope intercept form of equation, we will get:

`y=mx+b`

`f(x)=x+3`

Therefore, our required function is
`f(x)=x+3` and option D is the correct choice.