The table shows the input and output of a function table(input: 3,4,6,11. output: 5,7,11,21) write an equation, in function nation, that would fit in the inputs and outputs in the table. show your work that proves your equation is true for the given data. its due ! l

f(x) = 2x - 1

To obtain a function we require values of x for x = 3, 4, 5 , 6,

The output appears to increase in steps of 2

3 → 5

4 → 7

5 → 9

6 → 11

Looking at the consecutive values of y we should see that these are twice the corresponding value of x subtract 1

f(x) = 2x - 1 ← is a possible function

checking the values for x in the input

f(3) =(2 × 3 ) - 1 = 5

f(4) = (2 × 4 ) - 1 = 7

f(6) = (2 × 6 ) - 1 = 11

f(11) = (2 × 11 ) - 1 = 21