Log In Start studying!

Select your language

Suggested languages for you:
Deutsch (DE)
Deutsch (UK)
Deutsch (US)

Americas

Europe

Answers without the blur. Sign up and see all textbooks for free! → Illustration

Q4.

Expert-verified
Precalculus Mathematics for Calculus
Found in: Page 351
Precalculus Mathematics for Calculus

Precalculus Mathematics for Calculus

Book edition 7th Edition
Author(s) James Stewart, Lothar Redlin, Saleem Watson
Pages 948 pages
ISBN 9781337067508

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later
Illustration

Short Answer

Match the logarithmic function with its graph.

(a)  f(x)=log2x (b)  f(x)=log2−x(c)  f(x)=−log2x (d)  f(x)=−log2−x

  1. The graph of (a) is III.
  2. The graph of (b) is II.
  3. The graph of (c) is I.
  4. The graph of (d) is IV.
See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :
TABLE OF CONTENTS

Part a. Step 1. Given. 

The given expression is f(x)=log2x.

Part a. Step 2. To determine.

We have to find a graph for the given function.

Part a. Step 3. Calculation.

We make a table for f(x)=log2x:

x124
f(x)012

So, the graph is:

This graph matches with graph III.

So, the graph of (a) is III.

Part b. Step 1. Given.

The given expression is f(x)=log2−x.

Part b. Step 2. To determine.

We have to find a graph for the given function.

Part b. Step 3. Calculation.

We make a table for f(x)=log2−x:

x-1-2-4
f(x)012

So, the graph is:

This graph matches with graph II.

So, the graph of (b) is II.

Part c. Step 1. Given.

The given expression is f(x)=−log2x.

Part c. Step 2. To determine.

We have to find a graph for the given function.

Part c. Step 3. Calculation.

We make a table for f(x)=−log2x:

x124
f(x)0-1-2

So, the graph is:

This graph matches with graph I.

So, the graph of (c) is I.

Part d. Step 1. Given.

The given expression is f(x)=−log2−x.

Part d. Step 2. To determine.

We have to find a graph for the given function.

Part d. Step 3. Calculation.

We make a table for :

x-1-2-4
f(x)0-1-2

So, the graph is:

This graph matches with graph IV.

So, the graph of (d) is IV.

Most popular questions for Math Textbooks

Exponential Form Express the equation in exponential form.

(a) log51125=−3 (b) log84=23

Mouse Population A certain breed of mouse was introduced onto a small island with an initial population of 320 mice, and scientists estimate that the mouse population is doubling every year.

(a) Find a function N that models the number of mice after t years.

(b) Estimate the mouse population after 8 years.

In the formula A(t)=Pert for continuously compound interest, the letters P, r and t stand for ___, ___ and, ___ respectively, and A(t) stands for___. So, if $100 is invested at an interest rate of 6% compounded continuously, then the amount after 2 years is ___.

Logarithmic Equations Use the definition of the logarithmic function to find x.

(a) logx 1000=3 (b) logx 25=2

Compound Interest If $4000 is borrowed at a rate of 5.75% interest per year, compounded quarterly, find the amount due at the end of the given number of years.

(a) 4 years (b) 6 years (c) 8 years
Icon

Want to see more solutions like these?

Sign up for free to discover our expert answers
Get Started - It’s free

Recommended explanations on Math Textbooks

Decision Maths

Read explanation

Probability and Statistics

Read explanation

Statistics

Read explanation

Mechanics Maths

Read explanation

Geometry

Read explanation

Calculus

Read explanation

Pure Maths

Read explanation

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.