Question

What is f(x)? someone please help

Answer 1

Given:

The table of values for the function f(x).

To find:

The equation for the function f(x).

Solution:

From the given table it is clear that the function passes through the point (0,5) and (1,8). So, the equation of the linear function that passes through the (0,5) and (1,8) is

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

`y-5=(8-5)/(1-0)(x-0)`

`y-5=(3)/(1)x`

`y=3x+5`

The function notation is:

`f(x)=3x+5`

Therefore, the required function is
`f(x)=3x+5`.