101. Graphing Inverse Functions(a) Sketch a graph of the functionf(x) = x? - 4x20(b) Use part (a) to sketch the graph of f.(c) Find an equation for f.

fx=x2-4, x≥0 a). The graph is,

Answered: 101. Graphing Inverse Functions (a)…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.8: One-to-one Functions And Their Inverses

Problem 89E

See similar textbooks

Similar questions

a. Find the inverse of ƒ(x) = x + 1. Graph ƒ and its inverse together. Add the line y = x to your sketch, drawing it with dashes or dots for contrast. b. Find the inverse of ƒ(x) = x + b (b constant). How is the graph of ƒ -1 related to the graph of ƒ? c. What can you conclude about the inverses of functions whose graphs are lines parallel to the line y = x?
Consider a function f(x). State the condition for the function to have an inverse and how you can check if the condition holds. State also the relationship between the graphs of f(x) and f-1(x).
Pre Calculus-Modeling Rational Functions
1.Find inverse function f − 1 for the function 2.What is domain of f − 1?
a. Use a formula to express the altitude of a helicopter as a function of time. Be sure to explain the meaning of the letters you choose and the units. b. Express using functional notation the altitude of the helicopter 90 seconds after takeoff, and then calculate that value. c. Make a graph of altitude versus time covering the first 3 minutes of the flight. Explain how the description of the function is reflected in the shape of the graph.
Ahomework problem asks for a sketch of the graph of the inverse of f (x) = x + cos x. Frank, after trying but failingto find a formula for f -1(x), says it’s impossible to graph the inverse. Bianca hands in an accurate sketch without solvingfor f -1. How did Bianca complete the problem?
Surface Area The surface area of a cube is f (x) =6x2 cm2, where x is the length of the edge of the cubein centimeters.a. For what values of x does this model make sense?Is the model a one-to-one function for these values of x?b. What is the inverse of this function on this interval?c. How could the inverse function be used?
Sec2.6:#67. The graphs of f and g are given. Find a formula for the function g.
Determine whether the function shown below is a one-to-one function. If it is one-to-one, find its inverse. Sketch the graph of the function and its inverse on the same coordinate axes. Give the domain and intercepts of the one-to-one function and its inverse function (also show/explain how to get the answers).
Finding an Inverse Function InformallyFind the inverse function of f(x) = 4x. Then verify that both f( f −1(x)) and f −1( f(x))are equal to the identity function.
Using the image, what is the base of this function?
Use a graphing utility to graph the function f(x) = -√(16 - x2).Use the graph to determine whether the function has an inverse,that is a function one-to-one.

SEE MORE QUESTIONS

Recommended textbooks for you

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

Big Ideas Math A Bridge To Success Algebra 1: Stu…

Algebra

ISBN:

9781680331141

Author:

HOUGHTON MIFFLIN HARCOURT

Publisher:

Houghton Mifflin Harcourt

Functions and Change: A Modeling Approach to Coll…

Algebra

ISBN:

9781337111348

Author:

Bruce Crauder, Benny Evans, Alan Noell

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

101. Graphing Inverse Functions (a) Sketch a graph of the function f(x) = x? - 4 x20 (b) Use part (a) to sketch the graph of f. (c) Find an equation for f.