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

1 Answer
Radioactive Teddybear
Nov 22, 2017

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

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