Chose the correct term to complete the sentence.

The graph of the absolute value or greater integer function forms a V-shape and its described by f(x)=x

Short Answer

Expert verified

The correct statement to complete the sentence is Absolute value.

Step by step solution

01

Step-1 – Apply the concept of Absolute value.

General form of an absolute value equation is

f(x)=ax-h+k

To graph an absolute value function, choose several values of x and find corresponding y values to find some ordered pairs. Plot the points on a coordinate plane and connect them. Observe that the graph is V-shaped. The axis of symmetry x=0 or y-axis is the line that divides the graph into two congruent halves.

02

Step-2 – Apply the concept of Greatest integer.

Greatest Integer Function is a function that gives the greatest integer less than or equal or equal to the number. x is represented as x. We will round off the given number to the nearest integer that is less than or equal to the number itself.

03

Step-3 – Chose the correct statement to complete the sentence

From two function it’s clear that the sentence which make sense is the Absolute value

Since, the definition state that

General form of an absolute value equation is

f(x)=ax-h+k

To graph an absolute value function, choose several values of x

and find some ordered pairs. Plot the points on a coordinate plane and connect them. Observe that the graph is V-shaped. ... The axis of symmetry x=0or y-axis) is the line that divides the graph into two congruent halves.

Therefore, the correct statement to complete the sentence is Absolute value.

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