PetPuppyAdult dogCatGoldfishBeta fishCtrl8 a) (5 points) Determine whether the following relation represents a function. Justifyyour answer.Memory span in hours0.0080.0831621603600hiftFn8 b) (5 points) If it is a function, is it a one-to-one function? Justify your answer.

A function is a relation between a set of inputs and a set of permissible outputs with the property…

Answered: 8 a) (5 points) Determine whether the…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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The height of Danny's beanstalk decreases by 50% per day when he stops feeding it. Danny's beanstalk is 20 inches tall when he stops feeding it. a. Write a function f that determines the height of Danny's beanstalk (in inches) in terms of the number of days t since Danny stopped feeding the beanstalk. S f(t) 20-(20*.5)^t Preview b. Plot the points (0, f(0)), (1, f(1)), (2, f(2)), and (3, f(3))ds on the graph below. 20 | f(t) 15 10 t Clear All Draw: Dot
Decide whether the following relation defines a function. ((5,3), (4,3), (5,2)} Is the set of ordered pairs a function? Yes No
The bar graph to the right shows the average number of hours that people sleep per day, by age group. Use this information to complete parts a and Consider a function, f, whose domain is the set of six ages shown. Let the range be the average number of hours that people sleep per day. Write the function as a set of ordered pairs. f= Write the relation that is the inverse of f as a set of ordered pairs. The relation is Based on these ordered pairs, is f a one-to-one function? The function f is not a one-to-one function because the relation that is the inverse of is a function. B. The function f is a one-to-one function because the relation that is the inverse of f is a function. C. The function f is not a one-to-one function because the relation that is the inverse of f is not a function. D. The function f is a one-to-one function because the relation that is the inverse of f is not a function.
A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 8 inches.Write a list of six ordered pairs to show the height of the candle in inches (y) as a function of time in hours )x) from the first hour after it started burning. For example, the point (0,8) would represent a height of 8 inches after 0 hours. Explain how you obtained the ordered pairs Is this relation a function? Justify your answer using the list ordered pairs made in the first part. If the rate at which the candle burned was 0.4 inches per hour instead of 0.5 inches per hour, would the relation be a function and explain the answer using input and output values.
Find the requested information for the function using its graph. Domain: VA: 6 8 10 НА: -2
2. Summarize what you have learned about functions. Can all relationships between variables qualify as functions? How can you represent and describe functions? How are functions useful in the real world?
Sarah went on a bike ride. The graph below shows the distance, y, in miles, that she had traveled after biking for x hours. 70fv 60 50 40 30 2어 10 4 6. 7. 6. 10 Time, in hours State the domain and range of the function shown in the graph? Distance traveled, in miles
Consider the set of all ordered pairs where the first coordinate is a person’s name and the second coordinate is the name of the person’s uncle. Thus, the ordered pairs in the set look like (person, person’s uncle). Is this relationship a function? Explain how you know.
Use function notation to represent that your annual salary after working five years at your job is $2,000 more than your initial salary.

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8 a) (5 points) Determine whether the following relation represents a function. Justif your answer. Pet Puppy Adult dog Cat Goldfish Beta fish Memory span in hours 0.008 0.083 16 2160 3600 8 b) (5 points) If it is a function, is it a one-to-one function? Justify your answer.