Chapter 5: Q 2. (page 267)

Where is the function $f (x) = x^{2}$ increasing? Where is it decreasing?

Short Answer

Expert verified

The given function increase in interval $(0, \infty)$ and decrease in interval $(- \infty, 0)$

Step by step solution

Step 1. Definition

If the value of $f (x)$ is increasing on increasing the value of $x$ , then the function is known as an increasing function

If the value of role="math" localid="1646841555914" $f (x)$ is decreasing on increasing the value of $x$ , then the function is known as a decreasing function.

Step 2. Explanation

If we put any value of $x$ between $(- \infty, 0)$ the value of $y$ decrease and we put any value of $x$ between $(0, \infty)$ the value of $y$ increase

So, given function increase in interval $(0, \infty)$ and decrease in interval $(- \infty, 0)$ .

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!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Where is the function $f (x) = x^{2}$ increasing? Where is it decreasing?

Short Answer

Step by step solution

Step 1. Definition

Step 2. Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Decision Maths

Logic and Functions

Statistics

Geometry

Calculus

Study anywhere. Anytime. Across all devices.

Where is the function fx=x2increasing? Where is it decreasing?

Short Answer

Step by step solution

Step 1. Definition

Step 2. Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Decision Maths

Logic and Functions

Statistics

Geometry

Calculus

Study anywhere. Anytime. Across all devices.

Where is the function $f (x) = x^{2}$ increasing? Where is it decreasing?