Question

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

Answer 1

A f(x) =x+3

Plug in the variables to see if it works or did you check any problem like this

Answer 2

the linear function is y = x +3

A is correct option.

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.