Answered: 10. What does it mean when a function’s…

Math

Advanced Math

10. What does it mean when a function’s domain is ? What does it mean if that same function has a range of ?

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 84E

See similar textbooks

Related questions

Q: 1. A plant manager has worked hard over the past years using various innovative means to increase…

A: (a) Find the critical points for n(t) in interval 0,∞.…

Q: If the line tangent to the graph of the function fat the point passes through the point (1,7) passes…

A: Given: The line tangent to the graph of the function f at the point (1,7) passes through the point…

Q: 3) Without a graph, how can one show differentiability of a function at a point? 4) Where is the…

Q: On which the interval the function is increasing?

A: Given, The graph of the function is shown below :

Q: community give atleast 3 situation could represent function

A: Situation 1- Voting of presidential candidate in elections. Americans can choose to vote for either…

Q: 7) Give an example of an equation for a single function whose domain contains 2, whose domain does…

A: Represent the required function as f(x). Observe carefully, the assumed domain and range for the…

Q: 2. what is the domain of the function)

A: Given function is, f(x,y)=cos-1x2+y2-3+lnx2+y2-3 The graph of the function is,

Q: 8. Determine algebraically if the function is even, odd or neither. y = -2' - |-2°|

Q: Identify the open intervals on which the function is decreasing. (Enter your answers using interval…

A: Let f(x)=y. Differentiate the function with respect to x, to find f'(x).…

Q: B. Describe in your own words what a vertical line test is in egards to mathematical functions.

A: In mathematical functions, the vertical line test is a easy way to determine if a curve is a graph…

Q: What is the definition of the piecewise function from the given domain and range: Domain: (-…

A: The domain and range is given as , Domain = (-∞,0]∪2,∞ Range = -∞,4 find the definition of piecewise…

Q: 29. Every straight line normal to the graph of g passes through the point (0, 1). Can you guess what…

Q: Which statement about a function is true? (i) For each value ofx in the domain, there corresponds…

A: A function is actually a “special” kind of relationship because it follows an extra rule. Just like…

Q: 26. What is the range of the function?

Q: y = x² /9 – x

A: x=0 y=0 x=1 y=(8)^(1/2) x=2 y=4((7)^(1/2)) x=3 y=9((6)^(1/2))

Q: Researchers in a certain country investigated how having daughters influences voting voting records…

Q: 7. Find the intervals of increasing/decreasing, local extrema, intervals of concavity, and…

Q: 3) Without a graph, how can one show differentiability of a function at apoint?

A: With out the graph, to show the differentiablity of a function at a point we have to use the…

Q: (2) If you are only given the formula for a function, how do you determine on what intervals a…

A: To explain: The method to determine the interval in which function is concave up and concave down.…

Q: In 2000, 45% of the residents in a large city regularly used newspapers for getting news and this…

A: We will find the equation of P(x) as shown below where X=1,2 ,3....…...after 2000

Q: so if|x| 2 43. f(x)

A: Following is the graph plotted for individual functions.

Q: Give an example to explore numerically how a function behaves near a particular point at which we…

A: Solution: Consider y = f(x) = 1/x is the function Since at x = 0, this function is going to be…

Q: 14. Use the curve sketching procedure to analyze the function. а. у-х*+x*-20х

A: since you have asked multiple questions in single request so we will be answering only first…

Q: 5) State the intervals of concavity in the function g(x) = (x – 9) 2/3.

A: Answer and explanation is given below

Q: 18. Explain in your own words why the horizontal line testdetermines whether a function is…

A: A function is said to be one-to-one if each domain value is mapped to exactly one element in range…

Q: 13. In the table of signs, interval 0 < x<÷, is the function increasing or decreasing?

A: A function f(x) is decreasing on the interval (a , b) if f '(x)<0 for every x in (a , b)

Q: Without the aid of a calculator, find the local and absolute extreme values of the function on the…

A: Soution.

Q: 5. When functions are defined by more than one equation, they are called functions.

A: When functions are defined by more than one equation, they are called piece-wise defined functions.

Q: What is a function, in your own words? Give an example to back up your points.

Q: b) Differentiate between the domain and range of your function.

A: Topic =Functions

Q: Determine from the graph whether the function has any absolute extreme values on the interval [a,…

A: To determine if the function has absolute value on the interval.

Q: 6) If the graph of y = /x is translate equation for this function. 7) If the graph of y =x' is…

A: (6) Translating up by 4 units results y=x+4 Translating new function to 5 units left results y=x+5+4…

Q: 9. If the slope m of the graph of a linear function is the function is increasing over its domain.

A: Given Fill in the blank is: If the slope m of the graph of a linear function is ___ , the function…

Q: 5. What is odd and even function?

A: We have to define odd and even function.

Q: 35. Estimate any extrema of the function given by g(x) = x3 – x3.

A: The extrema of a function are the maximum and minimum values of the function. To find the critical…

Q: Help with this problem?

A: The given function is f(x) = 5 + 7xTo find the value of x for which |f(x)| = 5.

Q: 1. What is an inflection point and how do you identify it? 2. How do you test a function to be…

A: Note: In Case of multiple questions, as per the guidelines answer to first question will be…

Q: What doe the “sufficiently well behaved” function implies?

A: Generally the functions defined or behave well when the given function is well defined in the domain…

Q: About the Discontinuity of a function, kindly provide 5 Questions about it with solutions.

A: For a function f(x) to be continuous at a point x=a, it must satisfy the two of the following…

Q: b) Write a piecewise-defined function for the income of an author (f(x)) who earns $10 for each book…

Q: 7. Find the intervals of concavity for the function and state the points of inflection.

Q: 10+ 8- 6 2 0 -8 -6 -4 2. 4 8 10 -2- -6 -8- -10- Select the correct answer for end behavior of the…

Q: 9. What conclusion can be made if. a. A function changes from a decreasing interval to an increasing…

Q: Suppose that P(x) represents the percentage of income spent on health care in year x and I(x)…

A: To determine function H that represents total health care expenditures in year x

Q: Sketch a graph of the piecewise defined function.

A: Given piece-wise defined function is: fx=2if x≤-1x2if x>-1

Q: How can we verify the natural domains and associated ranges of some simple functions?

A: let f:X→Y be any function from a non-empty set X to a non-empty set…

Q: 7. A worker gets $20/hour for a normal work week of 40 hours and time-and-a-half for overtime.…

Q: What is the range of the function? yA (0,2) (0, 1) -2

Q: What type of discontinuity is the dirilecht function. If it's a mix of multiple discontinuities,…

A: The Dirichlet function, defined as f(x)={ 1ifxisrational 0ifxisirrational is

Q: Identify three cases for a function NOT to be differentiable at a. Explain why each case fails the…

Question

10. What does it mean when a function’s domain is ? What does it mean if that same function has a range of ?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Suppose you have a job that pays $8.50 per hour and you work anywhere from 10 to 40 hours per week. a. Write an equation, with a restriction on the variable x, that gives the amount of money, y, you will earn for working x hours in one week. b. Use the function rule you have written in part (a) to complete Table 4. c. Construct a line graph from the information in Table 4. d. State the domain and range of this function.
How do the graphs of the functions f(x)=x2 and f(x)=x21 differ? We graphed them at the start of this section. What is the difference between their graphs? How are their graphs the same?
In this problem you are asked to find a function that models in real life situation and then use the model to answer questions about the guidelines on page 273 to help you. Minimizing Time A man stands at a point A on the bank of a straight river, 2 mi wide. To reach point B, 7 mi downstream on the opposite bank, he first rows his boat to point Pon the opposite bank and then walks the remaining distances x to B, as shown in the figure. He can row at a speed or 2 mi/h and walk as a speed of mi/h (a) Find a function that models the time needed for the trip. (b) Where should he land so that he reaches B as soon as possible?
What does it mean to say that f(4) is a local maximum valueof f ?