Q2. - Algebra 2

Question

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 $f\left(x\right)=\left|x\right|$

Step-by-Step Solution

Answer

The correct statement to complete the sentence is Absolute value.

Step-1 – Apply the concept of Absolute value.

General form of an absolute value equation is

$f\left(x\right)=a\left|x-h\right|+k$

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.

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 $\left[x\right]$. We will round off the given number to the nearest integer that is less than or equal to the number itself.

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

$f\left(x\right)=a\left|x-h\right|+k$

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 $x=0$ or $y$-axis) is the line that divides the graph into two congruent halves.

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