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

Answer:

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

Step-by-step 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.