The homeowork problem says this, and i need help for one , how to know if its a one to one function or not  Determine whether it is one-to-one.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 1T: Which of the following are graphs of functions? If the graph is that of a function, is itone-to-one?
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The homeowork problem says this, and i need help for one , how to know if its a one to one function or not 

  1. Determine whether it is one-to-one.
Expert Solution
Step 1

 To check whether the function is  one to one or not.

 

Step 2

Consider the given function.

Use the graphical interpretation to determine the one to one function.

A function is said to be one to one function if and only if the graph of the function passes through the vertical line and horizontal line test.

 

Step 3
Algebra homework question answer, Step 3, Image 1
Step 4

From the Figure 1, it is observed that the graph of the function intersect the vertical line at single point that is (1, 1.732).

Horizontal line test:

A function is said to be one to one function if and only if the horizontal line intersect the graph of the function at most one point.

Use the graph of the function and check whether the graph of the function passes through horizontal test or not.

 

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