Question

Help!!!!!!!!!!!!!!!!

Answer 1

If the input is n then the output f(n) will be 4n - 8.

Explanation:

Let the input of the function is denoted by x and the output is denoted by y.

Then, two ordered pairs of the linear function i.e.(x,y) are (2,0) and (3,4).

Therefore, the relation between x and y i.e. the equation of the straight line will be given by

`(y - 4)/(4 - 0) = (x - 3)/(3 - 2)`

⇒ y - 4 = 4(x - 3)

⇒ y = 4x - 8

⇒ f(x) = 4x - 8

Therefore, if the input is n then the output f(n) will be 4n - 8. (Answer)