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Question

A function is given by a table of values, a graph, a formula, or a verbal description. Determine whether it is one-to-one.
$$\begin{array}{|c|c|c|c|c|c|c|}\hline x & {1} & {2} & {3} & {4} & {5} & {6} \ \hline f(x) & {1.5} & {2.0} & {3.6} & {5.3} & {2.8} & {2.0} \ \hline\end{array}$$

Amrita Bhasin · Accepted Answer

this question asked us to determine whether this is one toe one we know function is one toe one if there is a unique domain for every given range. So in other words, we know off of two is equivalent to half of six. They both give us 2.0. Therefore, no, it is not 1 to 1.

Carlos Pinilla · Answer

So these are shot bucks. So he&#x27;s, uh, his number. So you know what is But what? Thio Really? Or but on six. So we&#x27;re asking how is 1 to 1? So we&#x27;ll obviously want one day. It may not. So we&#x27;re going that well, huh? One is one. She&#x27;s gonna be on the point. Yeah. One on line, two to boy. So here, base four. Sleep on five somewhere. Really? Not here by these 311 uh, six is gonna be so well. So if the graft is only if the function, it&#x27;s only those points I want the one. If you insist on Lee off those points. 12121 folly. Hello. You didn&#x27;t mind is only you said 12 really for but six, because well, for its value little me you&#x27;re not signing so single simple assignment due by using the range. Um however, the function, if it is an approximation of our continues fortune Well, as you can see here in your Sunday increases under and decreases, he is echoed on approximation of continues is upper opportunity petunias. He&#x27;s not so approximation. I mean discreet. He&#x27;s great. Brooks emission wantonness fortune. It is not because Well, because you&#x27;re here, we&#x27;ll hear you on that point. There&#x27;s gonna be violence because increases and decreases. However, since this is the only data that you have, we&#x27;re with That data is 1 to 1 is 1 to 1. Only with that is there. All right. See you. Have you guys ever put too much luck with the dysfunction? Is not I want one. Those who

Amy Jiang · Answer

I guess we&#x27;re looking at our table. We see that for each X value. It&#x27;s a X one next to we see that f evaluated out X one is not equal to F evaluated at X two. So that means that our function is 1 to 1.

Carlos Pinilla · Answer

So you&#x27;re asking you, uh, these functions Functions is want one, 12121 So but what one means either there is no Carney. There is no two points eggs worm next to so is because the two points on it&#x27;s one is different. Look, so so Well, this is, uh this is Sam buries Jerry. So no two different points get sent to the same us. It is a common situation with these. Thanks, Mom. 62 on the clubs for the same. So here your domain on your inch. Here they have the same. You should little mean I&#x27;m gruff, shall we? You know, so two different boys get mom to the same onto So this is injected until me is that, uh, it hits every point in the domain until, by definition, is gonna be on the bridge, So want the one is jerky anointed. So one. Let&#x27;s go. You want to know why? And so well, these function there&#x27;s something these farm. So you have Ah, I understand. Uh, I&#x27;m a line that is low. My three. This is their function. We&#x27;re these, uh, this conventional means that buses, they or something leftist. So if you draw any line. We only eat cigarette once. But all these functions said this fighter property. I&#x27;m also you got that you&#x27;re going to see it goes well, you can solve these equations. Why? Because then minus the X, it&#x27;s uniquely so so then over that I&#x27;m seeing because only one solution. So this function, ese indeed, wantto so? Because so, the answer is it&#x27;s 1 to 1, yes.

Amy Jiang · Answer

Okay, so in a list actors equation here is this a, um the equation of a line that is we have wise. You go to Amec&#x27;s Let&#x27;s be so we have a wire, just have to attend on a slope in the of negative three. So since we have a line, we know that this function is 1 to 1. It is off of X is a line.

Heather Zimmers · Answer

we&#x27;re deciding whether or not this function is 1 to 1. And to be 1 to 1 means that every X value has only one y value. And every y value has only one X value. And there are different ways we can look into this. We could graph it or we might be able to find some new miracle examples. So let&#x27;s try some numbers here. Let&#x27;s find f of one that would be one to the fourth power minus 16 and that would be negative 15. Now let&#x27;s find f of negative one. That would be negative. One to the fourth power minus 16. That&#x27;s also negative. 15. So look, here&#x27;s an example where we have multiple X values with the same why value? So this is not 1 to 1.

Problem

A function is given by a table of values, a graph…

Problem 3 Easy Difficulty

A function is given by a table of values, a graph, a formula, or a verbal description. Determine whether it is one-to-one.
$$\begin{array}{|c|c|c|c|c|c|c|}\hline x & {1} & {2} & {3} & {4} & {5} & {6} \\ \hline f(x) & {1.5} & {2.0} & {3.6} & {5.3} & {2.8} & {2.0} \\ \hline\end{array}$$

Answer

Not one-to-one

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James Stewart

Biocalculus Calculus for the Life Sciences

Catherine R.

Heather Z.

Samuel H.

Michael J.

Precalculus Review - Intro

Functions on the Real Line - Overview

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Not one-to-one

Biocalculus Calculus for the Life Sciences

Catherine R.

Heather Z.

Samuel H.

Michael J.

Precalculus Review - Intro

Functions on the Real Line - Overview

James StewartBiocalculus Calculus for the Life Sciences

Catherine R.

Heather Z.

Samuel H.

Michael J.

James Stewart

Biocalculus Calculus for the Life Sciences