Open In App

Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Chapter 14: Q. 2 (page 889)

What are the domain and range of $f (x) = \ln x$ ?

Short Answer

Expert verified

The domain and range is $(0, \infty), (- \infty, \infty)$ respectively

Step by step solution

Given information

Given function $f (x) = \ln x$

Checking the input and output values for which function is defined

Checking, we get the domain and range is $(0, \infty), (- \infty, \infty)$ respectively

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

Use the graph shown to determine if the limit exists. If it does, find its value.

In Problems 13–32, use the accompanying graph of $y = f (x)$ .

Find $f (2) a n d f (6) .$

Graph each function. Use the graph to find the indicated limit, if it exists.

$\lim_{x \to π} f (x), f (x) = \cos (x)$

In Problems 53-56, use the properties of limits and the facts that

$\lim_{x \to 0} \frac{\sin x}{x} = 1 \lim_{x \to 0} \frac{\cos x - 1}{x} = 0 \lim_{x \to 0} \sin x = 0 \lim_{x \to 0} \cos x = 1$

$\lim_{x \to 0} \frac{\sin^{2} x + \sin x (\cos x - 1)}{x^{2}}$

In Problems 7– 42, find each limit algebraically

$\lim_{x \to - 2} (5 x)$

See all solutions

Recommended explanations on Math Textbooks

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free

What are the domain and range of $f (x) = \ln x$ ?

Short Answer

Step by step solution

Given information

Checking the input and output values for which function is defined

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Mechanics Maths

Logic and Functions

Probability and Statistics

Geometry

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Company

Product

Help

What are the domain and range of f(x)=lnx?

Short Answer

Step by step solution

Given information

Checking the input and output values for which function is defined

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Mechanics Maths

Logic and Functions

Probability and Statistics

Geometry

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

What are the domain and range of $f (x) = \ln x$ ?