/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 9 You are given the graph of a fun... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 9

You are given the graph of a function \(f .\) Determine whether \(f\) is one-to- one.

Short Answer

Expert verified
To determine if the given function \(f\) is one-to-one, examine its graph and apply the horizontal line test. If no horizontal line intersects the graph more than once, then the function is one-to-one. Otherwise, it is not.

Step by step solution

01

Examine the graph

Examine the entire graph of the function, looking for any horizontal lines that cross the graph more than once.
02

Apply the horizontal line test

Draw different horizontal lines across the graph, at various heights. If any horizontal line intersects the graph more than once, the function is not one-to-one. If no horizontal line intersects the graph more than once, the function is one-to-one.
03

Conclude

Based on the outcome of the horizontal line test, determine if the function is one-to-one or not. If none of the horizontal lines intersected the graph more than once, then the function is one-to-one.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Show that the vertex of the parabola \(f(x)=a x^{2}+b x+c\) where \(a \neq 0\), is \((-b /(2 a), f(-b /(2 a)))\).

Find the inverse of \(f .\) Then use a graphing utility to plot the graphs of \(f\) and \(f^{-1}\) using the same viewing window. $$ f(x)=\sqrt[3]{x-1} $$

Find the exact value of the given expression. $$ \sin ^{-1}\left(\frac{\sqrt{3}}{2}\right) $$

Find the exact value of the given expression. $$ \cot ^{-1}(-1) $$

Sketch the graph of the first function by plotting points if necessary. Then use transformation(s) to obtain the graph of the second function. \(y=\cos x, \quad y=\frac{1}{2} \cos \left(x-\frac{\pi}{4}\right)\)
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Geometry

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.