Question

How do you graph `f(x)=-x-2` and then use the horizontal test to determine whether the inverse of f is a function?

Answer 1

graph{-x-2 [-10, 10, -5, 5]}

linear slanted line that goes to infinity continuously on both sides

Explanation:

Here's the graph. graph{-x-2 [-10, 10, -5, 5]}

to do inverse, you just flip the `x` and `f(x)` and solve, so
`f(x)=-x-2`
`x=-f(x)-2`
`x+2=-f(x)`
`f(x)=-x-2`
Since it's a linear slanted line that goes to infinity continuously on both sides, there will be a horizontal line that passes through any point on the graph