How to determine if a function graph has an inverse and if the inverse is a function

👉 Learn how to find the inverse of a function. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that when the inverse of a function is made the argument (input) of a function, the result is x. Given the graph of a function, we will want to determine first whether the given graph is the graph of a function, this we can achieve using the vertical line test. If a vertical line drawn at any point on the graph intersects the graph at exactly one point, then the graph is the graph of a function. Next, we check if the given graph has an inverse, this we can achieve using the horizontal line test. If a horizontal line drawn at any point on the graph intersects the graph at exactly one point, then the graph has an inverse. To find the inverse of the function, we reflect the graph of the function across the line y = x. 👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrbrianmclogan?sub_confirmation=1 ❤️Support my channel by becoming a member: https://www.youtube.com/channel/UCQv3dpUXUWvDFQarHrS5P9A/join 🙋‍♂️Have questions? Ask here: https://forms.gle/dfR9HbCu6qpWbJdo7 🎉Follow the Community: https://www.youtube.com/user/MrBrianMcLogan/community Organized Videos: ✅ Find the Inverse of a Function https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpiWedZMoQ20j-4it9Lthfc ✅ Find the Inverse of a Function | Linear https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqYo1t0Vlxd9wGfNsoRgPPg ✅ Find the Inverse of a Function | Rational https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpuJUygEnTMRZFyXROU0LbS ✅ Find the Inverse of a Function | Cubic https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqUNsaT3YQJrv98far1MsYG ✅ Find the Inverse of a Function | Quadratic https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrGluIHnbxXTptanS70Xm9G ✅ Find the Inverse of a Function | Cube Root https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMq_N9mEFNw4qydaTG3UGsX8 ✅ Find the Inverse of a Function | Square Root https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrQ9oN3R_bJqcrRFR-8m4-V&disable_polymer=true ✅ Find the Inverse of a Function | Table https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMo6KaUVaY6SZ-4tJNs6cDfv ✅ Find the Inverse of a Function | Graph https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpZtffUCIZWmk_y51icK5Uy ✅ How to Prove Two Functions are Inverses https://www.youtube.com/playlist?list=PL2AAE7DDE257005E6 🗂️ Organized playlists by classes here: https://www.youtube.com/user/MrBrianMcLogan/playlists 🌐 My Website - http://www.freemathvideos.com 🎯Survive Math Class Checklist: Ten Steps to a Better Year: https://www.brianmclogan.com/email-capture-fdea604e-9ee8-433f-aa93-c6fefdfe4d57 Connect with me: ⚡️Facebook - https://www.facebook.com/freemathvideos ⚡️Instagram - https://www.instagram.com/brianmclogan/ ⚡️Twitter - https://twitter.com/mrbrianmclogan ⚡️Linkedin - https://www.linkedin.com/in/brian-mclogan-16b43623/ 👨‍🏫 Current Courses on Udemy: https://www.udemy.com/user/brianmclogan2/ 👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: https://www.freemathvideos.com/about-me/ #functions #brianmclogan