/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 7 In Problems 7, graph each functi... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q. 7 (page 245)

In Problems 7, graph each function using transformations (shifting, compressing, stretching, and reflection). Show all the stages.

f(x)=(x-1)4+2

Short Answer

Expert verified

The graph is shown below:

Step by step solution

01

Given information

The given function isf(x)=(x-1)4+2

02

Graph the base function

Graph the base function y=x4.

To help establish the graph, find the points at x=-1,x=0and x=1.

y=-14=1y=04=0y=14=1

The graph is shown below:

03

Graph the function fx=x-14

Shift the previous graph 1 unit to the right to get the graph for y=(x-1)4.

To help establish the graph, determine three points by adding 1 from the x-coordinates of the points in step 1

Maintain the y-coordinates of these points.

04

Graph the given function

Shift the previous graph 2 units upward to get the desired graph for the given function fx.

To help establish the graph, determine three points by adding 2 to the y-coordinates of the points in step 2

Maintain the x-coordinates of these points.

05

Write the conclusion

The graph of the given function is shown below:

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Graph each rational function using transformations.

R(x)=x-4x

United Parcel Service has contracted you to design a closed box with a square base that has a volume of 5000cubic inches. See the illustration.

Part (a): Express the surface areaS of the box as a function ofx.

Part (b): Using a graphing utility, graph the function found in part (a).

Part (c): What is the minimum amount of cardboard that can be used to construct the box?

Part (d): What are the dimensions of the box that minimize the surface are?

Part (e): Why might UPS be interested in designing a box that minimizes the surface area?

In Problems 57鈥� 62, find the real zeros of f. If necessary, round to two decimal places.

f(x)=x4-1.4x3-33.71x2+23.94x+292.41

Find the real zeros of f. Use the real zeros to factor f.

x3+8x2+11x-20

Solve each inequality algebraically.

x-3x+1>0
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation

Geometry

Read Explanation

Logic and Functions

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.