/*! 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 65. (a) graph each function, (b) det... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q 65. (page 157)

(a) graph each function, (b) determine the domain and the range of the function, and (c) determine where the function is increasing and where it is decreasing.

g(x)=-2x-32+2

Short Answer

Expert verified

Part (a). The required graph is:

Part (b). The domain of the function is all real numbers and the range of the function is (-鈭�,2].

Part (c). The function is increasing in-鈭�,3and decreasing in3,鈭�.

Step by step solution

01

Part (a). Step 1. Given information.

The given function isg(x)=-2x-32+2.

02

Part (a). Step 2. Draw the graph.

Simplify the given function:

g(x)=-2x-32+2=-2x2-6x+9+2=-2x2+12x-18+2=-2x2+12x-16

The required graph is:

03

Part (b). Step 1. Given information.

The given function isg(x)=-2x-32+2.

04

Part (b). Step 2. Determine the domain and range of the given function.

From the above graph, the domain of the function is-鈭�,+鈭�and the range of the function is(-鈭�,2].

05

Part (c). Step 1. Given information.

The given function isg(x)=-2x-32+2.

06

Part (c). Step 2. Determine where the function is decreasing and increasing.

The function is increasing in-鈭�,3and decreasing in3,鈭�.

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

In Problems 7鈥�22, solve each inequality.

6(x2-1)>5x

In Problems 6鈥� 8, graph each quadratic function using transformations (shifting, compressing, stretching, and/or reflecting).

fx=-x-42

Find a quadratic function whose x-intercepts are -1 and 5and whose range is(-鈭�,9]

To complete the square of x2-5x, you add the number _______.

State the circumstances that cause the graph of a quadratic function f(x)=ax2+bx+cto have no x-intercepts.
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Mechanics Maths

Read Explanation

Applied Mathematics

Read Explanation

Logic and Functions

Read Explanation

Statistics

Read Explanation

Pure Maths

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.