/*! 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. 26 determine whether the given func... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q. 26 (page 283)

determine whether the given function is linear, exponential, or neither. For those that are linear functions, find a linear

function that models the data; for those that are exponential, find an exponential function that models the data.

xf(x)
-12
05
18
211
314

Short Answer

Expert verified

The function is linear whose equation is

g(x)=3x+5

Step by step solution

01

Step 1. Given

A table with values of x,f(x)to trace the function.

02

Step 2. Write the concept

We will check for domain and range that will gives us a clue about exponentiality or linearity of the function.

03

Step 3. Calculation

Here the change in domain is just 1 unit but change in range is of higher order.

Also the change is constant therefore, it is linear.

Consider,

g(x)=mx+catx=0wehaveg(x)=5therefore,c=5Nowatx=-1g(x)=2therefore,2=m(-1)+5m=3thus,g(x)=3x+5

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

Vehicle Stopping Distance Taking into account reaction time, the distance d(in feet) that a car requires to come to a complete stop while traveling rmiles per hour is given by the function

localid="1646198784356" d(r)=6.97r-90.39

a. Express the speed rat which the car is traveling as a function of the distance localid="1646198792401" drequired to come to a complete stop

b. Verify that localid="1646198797631" r=r(d)is the inverse of localid="1646198802104" d=d(r)by showing that localid="1646198806352" r(d(r))=rand localid="1646198811055" d(r(d))=d

c. Predict the speed that a car was traveling if the distance required to stop was localid="1646198818232" 300feet.

d(r(d))=d

Solve the equation(14)x=164

and verify your results using a graphing utility.

The domain of a one-to-one functiong is[0,15] , and its range is(0,8). State the domain and the range ofg-1 .

If f(x)=ax+band g(x)=cx+d, then find: -

(a)f鈭�g

(b)g鈭�f

(c)the domain of f鈭�gand g鈭�f

(d)the conditions for whichf鈭�g=g鈭�f

In Problems 61鈥�72, the function f is one-to-one. Find its inverse and check your answer.

f(x)=3x+42x-3
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Pure Maths

Read Explanation

Discrete Mathematics

Read Explanation

Statistics

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.