Question

What is the linear functions f with the values f (-6) = 10 and f (2) = 10?

Answer 1

Given:

f (-6) = 10 and f (2) = 10?

To find:

The linear function f.

Solution:

If f(x)=y, then the function passes through (x,y).

We have, f (-6) = 10 and f (2) = 10, it means the function passes through (-6,10) and (2,10). So, the equation is

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

`y-10=(10-10)/(2-(-6))(x-(-6))`

`y-10=(0)/(2+6)(x+6)`

`y-10=0`

Adding 10 on both sides, we get

`y=10`

Function form is

`f(x)=10`

Therefore, the required function is
`f(x)=10`. It is a constant function.