Question

arry is using an online calculator to calculate the outputs f(n) for different inputs n. The ordered pairs below show Larry's inputs and the corresponding outputs displayed by the calculator: (1, 5), (2, 9), (3, 13), (4, 17) Which of the following functions best represents the rule that the calculator uses to display the outputs?

Answer 1

The answer you are looking for is
f(n) = 4n + 1

Answer 2

Answer: y = 4x+1

Step-by-step explanation:

After plotting the points on the graph we found that the function is a line.

Since we know that equation of a line passes through two points
`(x_1,y_1)` and
`(x_2,y_2)` is,

`y-y_1= ((x_2-x_1))/((y_2-y_1)) (x-x_1)`

Thus, equation of the line is,

`y-5= ((9-5))/((2-1))(x-1)`

⇒
`y-5= (4)/(1)(x-1)`

⇒y = 4x+1

Which is the required function.