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

Graph each function. State the domain and range.

f(x)=|2x2|

Short Answer

Expert verified

The domain is all real numbers and the range is non-negative real numbers i.e.,

{y:y0}

Step by step solution

01

Step 1. State the concept for absolute value function.

An absolute value function is a function that contains an algebraic expression within absolute value symbols. The absolute value of a number is its distance from 0 on the number line.

f(x)=|x|={x;x>0x;x0}

02

Step 2. Solve for x.

Since f(x)cannot be negative , so the minimum point of the graph will be where

f(x)=0

f(x)=|2x2|f(x)=±(2x2)=02x2=02x=2x=1

03

f(x)Step 3. Make a table for the given function.

Construct a table for by taking some values ofx.

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 Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Study anywhere. Anytime. Across all devices.

Sign-up for free