Explain why the inverse of this is or is not a function

Assignment Help Algebra
Reference no: EM131029004

1. A student was given the function f(x) = x2 and asked to write the result of translating this function 1 unit to the left. The student wrote the following: g(x) = (x+1)2. Is this statement correct? Explain

2. The length of time that it takes for a pendulum to make one complete swing depends on the length of the pendulum. The time in seconds, T, is related to the length in metres, L, through the equation

a) Write this equation in function notation.

b) State the domain and range of this function.

c) Graph this function for pendulums up to 20m in length.

d) If you wanted to construct a pendulum in the Ontario Science Centre that takes exactly 10s to complete one swing, how long would it have to be (to the nearest millimetre)?

e) What would be the effect on the value of T if the pendulum were made twice as heavy?

3.A student was asked to find the inverse of the function f(x) = 3x - 7. The student began the solution with the following:
f(x) = 3x - 7 as y = 3x - 7
The student eventually obtained the correct equation for f-1(x) but did not get full marks for the solution. Why not?

4.For the following graph

a) state as accurately as possible the intercepts, maximum and minimum values, the domain and range, and the intervals in which the function is increasing or decreasing.

b) explain why the inverse of this is or is not a function.

5.Determine the domain and range for each function given. Explain where any restrictions come from.

6. Determine the inverse for each relation given.
a.

b.

8. Graph each relation and its inverse from question 6, indicate which relations are functions and explain why or why not.

Attachment:- Assing 1.zip

Reference no: EM131029004

Questions Cloud

Journals in regard to race relations : An annotation is a half-page review of the exact contents of the article. These annotated citations should be obtained by locating and reading sources in major social science journals and law journals in regard to Race Relations.
What are the key strategic initiatives contained : What are the key strategic initiatives contained in the development plan Mr. Pile is presenting to the board of directors in the upcoming meeting? Chose three or four
Simplify the expression and combine like terms : Decide whether the ordered pair (9,5) is a solution of the equation. x + y = 9
Do these data present sufficient evidence to indicate : In an attempt to verify the researcher's claim, 200 working people who had recently had heart attacks were surveyed. Do these data present sufficient evidence to indicate that there is a difference in the percentages of heart attacks that occur on d..
Explain why the inverse of this is or is not a function : If you wanted to construct a pendulum in the Ontario Science Centre that takes exactly 10s to complete one swing, how long would it have to be (to the nearest millimetre)?
Read the given scenario and respond it : Read the following scenario and respond to it as a risk manager. Mr. And Mrs. Watros came to the Memorial Hospital for the delivery of their first child. While Mrs. Watros was in labor, the couple had to wait for nearly two hours to get a room
Developed a unique internet marketing strategy : Son developed a unique internet marketing strategy (the “Strategy”) that could be worth millions. He asked Dad to “invest” $50,000 to “get the business going.”  How will the profits of the enterprise be allocated between Dad and Son? What duties do D..
Explain why the inverse of this is or is not a function : If you wanted to construct a pendulum in the Ontario Science Centre that takes exactly 10s to complete one swing, how long would it have to be (to the nearest millimetre)?
Positive trends relative to organized delivery systems : Identify the positive trends relative to the future of organized delivery systems. Provide one (1) example of an organized delivery system in your area, and examine its impact on reducing costs, increasing access to care, and improving quality of ..

Reviews

Write a Review

 

Algebra Questions & Answers

  Place the points in a number line

Place the points in a number line.

  Using the straight-line method find depreciation expense

Using the straight-line method, depreciation expense for 2007 and the equipment book value at December 31, 2007 would be:

  What is the value of the x-intercept

Draw the line AB that passes through these points - what is the value of the slope and what is the value of the x-intercept?

  What is the maximum price that helen can charge

What is the maximum price that Helen can charge and still sell at least one can? What happens to her sales every time she raises her price by $1?

  Linear equations in augmented form

Linear equations in augmented form.

  Determine the amount of an investment if 96000is invested

determine the amount of an investment if 96000is invested at an interest rate of5.2 compounded daily for 3

  Find the average cost per animal for ten animals

Find the average cost per animal for 10 animals, 100 animals, and 1,000 animals. As the number of animals tested increases, what happens to the average cost to test the animals? How do you know this?

  Solve the quadratic and algebraic equations

Solve the quadratic and algebraic equations

  Find the union of two sets

Find the union of two sets.

  Apply the mathematical model to solve problems

Apply the mathematical model to solve problems

  Explain why your example does not model a function

Explain why your example models a function. This is extremely important for your learning.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd