Write a function rule for the table. x f(x) 0 3 1 4 2 5 3 6 a. f(x) = x + 3 b. f(x) = –3 – x c. f(x) = x – 3 d. f(x) = 3x

the linear function is y = x +3

A is correct option.

Step-by-step explanation:

The slope intercept form of a line is given by y = mx +b, where b is the y-intercept and m is the slope.

For y-intercept, x =0

From the given table, at x = 0, f(x)=3

Therefore, y-intercept, b= 3

Hence, the equation is in the form y = mx+3

Now, use the point (1,4) to find m

4 = m(1)+3

4 = m +3

m = 1

Therefore, the linear function is y = x +3

A is correct option.

a

step-by-step explanation: