in-11-16-determine-if-the-function-has-an-inverse-if-so-list-the-pairs-of-the-inverse-function-if--3

Question

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.
$$
\{(0,8),(2,6),(4,4),(6,2)
$$

Aryan Malesha · Accepted Answer

this problem? We have four coordinates. Zero A 26 for four and six. So you want to keep this simple? Come, just grab this out and see what we got. 246 A 246 actually has zero. Uh, not only changed the collective this 08 at one point 26 as 1.44 Another point and six to another place. And here we are. So now there&#x27;s a thing called the horizontal line. So what? This means you can draw a bunch of horizontal lines across his draft. And if if those funds only touch one point, then it should be safe to have a function. So destroy a bunch of lines. As you can see, there&#x27;s only one intersection there. One intersection there, one intersection there. Therefore, this does pass the horizontal line test. So it does have an adverse. So we can say yes. It doesn&#x27;t have an inverse, and then the next part thinks we ask Teoh kind of map out some of the point. So here we can just flip around the original point, and that will give us the coordinates for the embers. So we split these two from 622644244 to 6262 and 0880 And these are our court mint for the English.

Aryan Malesha · Answer

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&#x27;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&#x27;s no X value that has multiple of y values. So we should be all good there. And then also, there&#x27;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&#x27;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&#x27;s how you&#x27;re gonna go about working out a problem like this.

Shira Strong · Answer

Hi, everybody. This is section 4.8 or on number 14. And the question says, does this function have an inverse? And they give you a set of points. So we have the points to seven, 37 or seven, 57 and 67 So these are set of points. I&#x27;m actually gonna put them in a little bit of a table here, right? This is our AKs. And this is our Why value well, for inverse functions. What do we do? We switch the X and Y values. So the inverse function right is gonna have the points. If we put our chart here the Y in the axe, we get seven comma 2737475 and 76 Well, the definition of a function is where every X has won wide value. But the problem is so now this is our new axe. And this is our new Why value right up your ex and why? So what happens now for the inverse function? We&#x27;re gonna have an X value of seven going to to Oh, it also goes to three. It goes before it goes to five. It goes to six so this X value in excess seven has more than one y value, so it is not going to be ah, function.

Shira Strong · Answer

Hi, everybody. This is section 4.8, Number 12 and were asked to tell if a function that they&#x27;re giving us a set of points for has an inverse. So they&#x27;re telling us right now that the set of points are one comma for two comma seven one, comma 10. And for comma 13 these are the set of points on dhe. Will this function have an inverse? But there&#x27;s a little bit of a problem here. If you look at these two points, each of them have the X value of one. When X is one, it goes to four on dhe. It goes to 10. So the biggest problem here is that it&#x27;s not even a function on. If it&#x27;s not a function, it there&#x27;s no way it&#x27;s going to have an inverse. So the answer is no

Shira Strong · Answer

Hi, everybody. This is section 4.8. Number 16 on were given the function y equals X squared plus two when x is between zero and five inclusive. So, first, we&#x27;ll just to understand this is a second degree equation that&#x27;s gonna be a parabola on not all Karam Bliss will have in versus unless it&#x27;s restricted. So this is just going from 0 to 5. So you wanna just sketch it just to get an idea? It&#x27;s an X where it&#x27;s your basic parabola that&#x27;s moved up to. It would look like this, right if I were toe do that. But we&#x27;re only looking at the part from 0 to 5. So we&#x27;re starting here and we&#x27;re going, uh, so we only have this part of the problem because of the restriction. So the question is, is it going to have an inverse? So let&#x27;s see what&#x27;s going to happen in verse. Well, you know, we know we could reflect it in this line. Y equals X on. We can figure out what that inverse would be. Ah, few ways to go about it so we can actually do X equals life squared. Plus two, we switch the X and y to find the inverse X minus two equals lie square. And then why would be equal to the square root of X minus two? Well, looking at the problem because we have the positive part of the parabola, right? The right side. The graph here is gonna be the positive square root. It would have had to be a negative if it was the other side, but we don&#x27;t have to worry about that now, so we&#x27;ll have an inverse function. The question is, where is it going to be restricted? It goes from where to where? Just like there is a restriction from here Thio here because technically, it only went from zero five, so we know we had to stop it. Some point here, we&#x27;ll have to stop this one, too. So the easiest thing to do is to look at the original one and just find out a little chart really quickly. If we weren&#x27;t so plug in in an X Y chart. If we&#x27;re gonna plug in when x zero all the way to five, what would the y value be? So we&#x27;re gonna look back over here when x 00 squared plus two is two on when exes 5 25 five squared is 25 plus two is 27 so that&#x27;s going to go from 2 to 27. So when we do the inverse function and we switch, our X and Y goes from to zero all the way to 27 five. So this one now will go from when X is butts Wean two and 27 inclusive.

Ankit Gupta · Answer

Let&#x27;s make that state of the first element. This is gentle one who to be new. Poor on This is general Esquire. One is square, is Squire. Today is where and 40 square. No, if you object disconnected 11 Therefore it is 11 So in worse in verses F universe. This is equally distended Order. Judo is sweat, Geo one is quite a one. It&#x27;s where you three squad T and poured is wired for.

Problem

In $11-16,$ determine if the function has an inve…

Problem 13 Medium Difficulty

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.
$$
\{(0,8),(2,6),(4,4),(6,2)
$$

Answer

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

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

Algebra 2 and Trigonometry

Alayna H.

Kayleah T.

Kristen K.

Michael J.

Absolute Value - Example 1

Absolute Value - Example 2

Ann Xavier GantertAlgebra 2 and Trigonometry

Alayna H.

Kayleah T.

Kristen K.

Michael J.

Ann Xavier Gantert

Algebra 2 and Trigonometry