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In $11-16,$ determine if the function has an inverse. If so, list the pairs of the inverse function. If not, explain why there is no inverse function.$$\{(0,8),(1,7),(2,6),(3,5),(4,4)\}$$

The inverse of the given function is: $\{(8,0),(7,1),(6,2)(5,3),(4,4)\}$

Algebra

Chapter 4

RELATIONS AND FUNCTIONS

Section 8

Inverse Functions

An Introduction to Geometry

Functions

Linear Functions

Polynomials

Missouri State University

Campbell University

University of Michigan - Ann Arbor

Lectures

01:32

In mathematics, the absolu…

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In $11-16,$ determine if t…

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find the inverse of each o…

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Okay, So this problems were basically given a serious of coordinates, not goods. 08 12 30 for 765 So and we are trying to see if there is an inverse. So to see if there's an inverse, we have to make sure that, uh, every X value kind of matches up to y value and every y value matches up to next valleys. So here there's no X value that has multiple of y values. So we should be all good there. And then also, there's no why values that has multiple X values. So we kind of covered both of those steps. So we know that yes, there is. And in verse, and now we kind of want toe try to figure out for the inverse like, let's kind of map out some of these points. So here we have five points of 12345 And in order to do this, basically, all we have to do is switch around the X and the Y coordinates for each of these. So this is gonna be eight 071 six to sighs three and then 44 is going to stay the same. So, Yeah, these were the points of the inverse. We know that there is an inverse for sure. And Yep, that's how you're gonna go about working out a problem like this.

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