ALGEBRA 1:COMMON CORE
22nd Edition
ISBN: 9781647274160
Author: Larson
Publisher: CENGAGE L
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Textbook Question
Chapter 4.6, Problem 6P
Use the vertical line test to determine whether the relation is a function.
Expert Solution & Answer
To determine
To find: whether the given relation is function or not.
Answer to Problem 6P
The given relation is a function.
Explanation of Solution
Given information:
The graph of given relation is as follows
Concept used:
Vertical line test: The vertical line any where drawn on to the graph of the relation, that
intersect the Exactly at only once with the graph, then the relation is function. Otherwise not.
Calculation:
Apply vertical line test:
From the above vertical line test,
The vertical lines intersect Exactly at once with the graph.
Hence, the given relation is a function.
Chapter 4 Solutions
ALGEBRA 1:COMMON CORE
Ch. 4.1 - What are the variables in each graph? Describe how...Ch. 4.1 - What are the variables in each graph? Describe how...Ch. 4.1 - What are the variables in each graph? Describe how...Ch. 4.1 - Match each graph with its related table. Explain...Ch. 4.1 - Match each graph with its related table. Explain...Ch. 4.1 - Match each graph with its related table. Explain...Ch. 4.1 - Sketch a graph to represent the situation. Label...Ch. 4.1 - Sketch a graph to represent the situation. Label...Ch. 4.1 - Sketch a graph to represent the situation. Label...Ch. 4.1 - Error Analysis DVDs cost $19.99 each for the first...
Ch. 4.1 - Sketch a graph of each situation. Are the graphs...Ch. 4.1 - For Exercises $1-3,$ choose the correct letter....Ch. 4.1 - For Exercises 13, choose the correct letter. Which...Ch. 4.1 - For Exercises 1-3, choose the correct letter. How...Ch. 4.1 - For the race you swim 1 mile, run 10 miles, and...Ch. 4.2 - For each diagram, find the relationship between...Ch. 4.2 - For each diagram, find the relationship between...Ch. 4.2 - For each table, determine whether the relationship...Ch. 4.2 - For each table, determine whether the relationship...Ch. 4.2 - For each table, determine whether the relationship...Ch. 4.2 - For each table, determine whether the relationship...Ch. 4.2 - Reasoning Graph the set of ordered pairs...Ch. 4.2 - You can make a bubble solution by mixing 1 cup of...Ch. 4.2 - For Exercises 14, choose the correct letter. Which...Ch. 4.2 - For Exercises 14, choose the correct letter. In a...Ch. 4.2 - For Exercises 14, choose the correct letter. A...Ch. 4.2 - Which equation represents the relationship shown...Ch. 4.2 - The table below shows the relationship between the...Ch. 4.3 - A students earnings E, in dollars, is a function...Ch. 4.3 - Graph the function shown by each table. Tell...Ch. 4.3 - Graph the function shown by each table. Tell...Ch. 4.3 - Each set of ordered pairs represents a function....Ch. 4.3 - Each set of ordered pairs represents a function....Ch. 4.3 - Each set of ordered pairs represents a function....Ch. 4.3 - Each set of ordered pairs represents a function....Ch. 4.3 - Reasoning A certain function fits the following...Ch. 4.3 - Writing The rule C=6.3r gives the approximate...Ch. 4.3 - Open-Ended What is a rule for the function...Ch. 4.3 - A landscape architect wants to make a triangular...Ch. 4.3 - For Exercises 15, choose the correct letter. Which...Ch. 4.3 - For Exercises 15, choose the correct letter. The...Ch. 4.3 - For Exercises 15, choose the correct letter. Which...Ch. 4.3 - For Exercises 15, choose the correct letter. The...Ch. 4.3 - For Exercises 15, choose the correct letter. Which...Ch. 4.3 - Graph the function shown in the table below. Is...Ch. 4.4 - Graph each function rule. y=2xCh. 4.4 - Graph each function rule. y=12xCh. 4.4 - Graph each function rule. y=3x+1Ch. 4.4 - Graph each function rule. Tell whether the graph...Ch. 4.4 - Graph each function rule. Tell whether the graph...Ch. 4.4 - Graph each function rule. y=x+1Ch. 4.4 - Graph each function rule. y=x3Ch. 4.4 - Graph each function rule. y=x2Ch. 4.4 - Graph each function rule. y=x1+2Ch. 4.4 - Graph each function rule. y=x2Ch. 4.4 - Graph each function rule. y=x33Ch. 4.4 - Open-Ended Sketch a graph of a quadratic function...Ch. 4.4 - Writing Describe the general shape of the graphs...Ch. 4.4 - For Exercises 14, choose the correct letter. Which...Ch. 4.4 - For Exercises 14, choose the correct letter. Which...Ch. 4.4 - For Exercises 14, choose the correct letter. Which...Ch. 4.4 - For Exercises 14, choose the correct letter. The...Ch. 4.4 - The profit y on the number x of items a store...Ch. 4.5 - Write a function rule that represents each...Ch. 4.5 - Write a function rule that represents each...Ch. 4.5 - Write a function rule that represents each...Ch. 4.5 - Write a function rule that represents each...Ch. 4.5 - Write a function rule that represents each...Ch. 4.5 - For Exercises 610, write a function rule that...Ch. 4.5 - For Exercises 610, write a function rule that...Ch. 4.5 - For Exercises 610, write a function rule that...Ch. 4.5 - For Exercises 610, write a function rule that...Ch. 4.5 - For Exercises 610, write a function rule that...Ch. 4.5 - José is 3 years younger than 3 times his brothers...Ch. 4.5 - A taxicab charges $4.25 for the first mile and...Ch. 4.5 - Write a function rule for the area of a rectangle...Ch. 4.5 - Write a function rule for the area of a rectangle...Ch. 4.5 - Write a function rule for the area of a triangle...Ch. 4.5 - Reasoning Write a rule that is an example of a...Ch. 4.5 - Open-Ended Describe a real-world situation that...Ch. 4.5 - Writing Explain whether or not the relationship...Ch. 4.5 - Multiple Representations Use the table shown at...Ch. 4.5 - For Exercises 15, choose the correct letter. Jill...Ch. 4.5 - For Exercises 15, choose the correct letter. What...Ch. 4.5 - For Exercises 15, choose the correct letter. Which...Ch. 4.5 - For Exercises 15, choose the correct letter. Which...Ch. 4.5 - For Exercises 15, choose the correct letter. The...Ch. 4.5 - A plane was flying at an altitude of 30,000 feet...Ch. 4.6 - Identify the domain and range of each relation....Ch. 4.6 - Identify the domain and range of each relation....Ch. 4.6 - Identify the domain and range of each relation....Ch. 4.6 - Identify the domain and range of each relation....Ch. 4.6 - Use the vertical line test to determine whether...Ch. 4.6 - Use the vertical line test to determine whether...Ch. 4.6 - The function w(x)=60x represents the number of...Ch. 4.6 - Sound travels about 343 meters per second. The...Ch. 4.6 - Find the range of each function for the given...Ch. 4.6 - Find the range of each function for the given...Ch. 4.6 - Find the range of each function for the given...Ch. 4.6 - Find the range of each function for the given...Ch. 4.6 - Find a reasonable domain and range for each...Ch. 4.6 - Find a reasonable domain and range for each...Ch. 4.6 - Reasoning If f(x)=x23 and f(a)=46, what is the...Ch. 4.6 - Open-Ended What is a value of x that makes the...Ch. 4.6 - Solve each exercise and enter your answer on the...Ch. 4.6 - Solve each exercise and enter your answer on the...Ch. 4.6 - Solve each exercise and enter your answer on the...Ch. 4.6 - Solve each exercise and enter your answer on the...Ch. 4.6 - Solve each exercise and enter your answer on the...Ch. 4.7 - Describe the pattern in each sequence. Then find...Ch. 4.7 - Describe the pattern in each sequence. Then find...Ch. 4.7 - Describe the pattern in each sequence. Then find...Ch. 4.7 - Describe the pattern in each sequence. Then find...Ch. 4.7 - Describe the pattern in each sequence. Then find...Ch. 4.7 - Describe the pattern in each sequence. Then find...Ch. 4.7 - Describe the pattern in each sequence. Then find...Ch. 4.7 - Describe the pattern in each sequence. Then find...Ch. 4.7 - Describe the pattern in each sequence. Then find...Ch. 4.7 - Tell whether the sequence is arithmetic. If it is,...Ch. 4.7 - Tell whether the sequence is arithmetic. If it is,...Ch. 4.7 - Tell whether the sequence is arithmetic. If it is,...Ch. 4.7 - Tell whether the sequence is arithmetic. If it is,...Ch. 4.7 - Tell whether the sequence is arithmetic. If it is,...Ch. 4.7 - Tell whether the sequence is arithmetic. If it is,...Ch. 4.7 - Tell whether the sequence is arithmetic. If it is,...Ch. 4.7 - Tell whether the sequence is arithmetic. If it is,...Ch. 4.7 - Tell whether the sequence is arithmetic. If it is,...Ch. 4.7 - Tell whether the sequence is arithmetic. If it is,...Ch. 4.7 - Tell whether the sequence is arithmetic. If it is,...Ch. 4.7 - Tell whether the sequence is arithmetic. If it is,...Ch. 4.7 - You have a gift card for a coffee shop worth $90....Ch. 4.7 - You start a savings account with $200 and save $30...Ch. 4.7 - Find the third, fifth, and tenth terms of the...Ch. 4.7 - Find the third, fifth, and tenth terms of the...Ch. 4.7 - Find the third, fifth, and tenth terms of the...Ch. 4.7 - Find the third, fifth, and tenth terms of the...Ch. 4.7 - Find the third, fifth, and tenth terms of the...Ch. 4.7 - Find the third, fifth, and tenth terms of the...Ch. 4.7 - Find the third, fifth, and tenth terms of the...Ch. 4.7 - Find the third, fifth, and tenth terms of the...Ch. 4.7 - Tell whether each sequence is arithmetic. Justify...Ch. 4.7 - Tell whether each sequence is arithmetic. Justify...Ch. 4.7 - Tell whether each sequence is arithmetic. Justify...Ch. 4.7 - Tell whether each sequence is arithmetic. Justify...Ch. 4.7 - Tell whether each sequence is arithmetic. Justify...Ch. 4.7 - Tell whether each sequence is arithmetic. Justify...Ch. 4.7 - Open-Ended Write an explicit formula for the...Ch. 4.7 - Error Analysis Your friend writes A(8)=3+(8)(5) as...Ch. 4.7 - The local traffic update is given on a radio...Ch. 4.7 - For Exercises 15, choose the correct letter: What...Ch. 4.7 - For Exercises 15, choose the correct letter: What...Ch. 4.7 - For Exercises 15, choose the correct letter: What...Ch. 4.7 - For Exercises 15, choose the correct letter: What...Ch. 4.7 - For Exercises 15, choose the correct letter Each...Ch. 4.7 - A friend opens a savings account by depositing...
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