Step-by-step explanation:
Considering the function
[tex]g\left(x\right)=x[/tex]
Checking the statement A)
As
[tex]g\left(x\right)=x[/tex]
Putting x = -5.7 in the function
[tex]g\left(-5.7\right)=-5.7[/tex]
Rounded to the nearest 1 or the Ones Place.
[tex]g\left(-5.7\right)=-6[/tex]
But, original statement is [tex]g\left(-5.7\right)=-5[/tex].
So, the original statement is NOT TRUE.
Checking the statement B)
As
[tex]g\left(x\right)=x[/tex]
Putting x = -2.3 in the function
[tex]g(-2.3) = -2.3[/tex]
Rounded to the nearest 1 or the Ones Place.
[tex]g(-2.3)=-2[/tex]
As original statement is also [tex]g(-2.3)=-2[/tex].
So, the original statement is TRUE.
Checking the statement C)
As
[tex]g\left(x\right)=x[/tex]
Putting x = -0.6 in the function
[tex]g(-0.6) = -0.6[/tex]
Rounded to the nearest 1 or the Ones Place.
[tex]g(-0.6) = -1[/tex]
As original statement is also [tex]g(-0.6) = -1[/tex] .
So, the original statement is TRUE.
Checking the statement D)
As
[tex]g\left(x\right)=x[/tex]
Putting x = 4.1 in the function
[tex]g\left(4.1\right)=4.1[/tex]
Rounded to the nearest 1 or the Ones Place.
[tex]g\left(4.1\right)=4[/tex]
But, original statement is [tex]g\left(4.1\right)=5[/tex].
So, the original statement is NOT TRUE.
Checking the statement E)
As
[tex]g\left(x\right)=x[/tex]
Putting x = 7.5 in the function
[tex]g\left(7.5\right)=7.5[/tex]
Rounded to the nearest 1 or the Ones Place.
[tex]g\left(7.5\right)=8[/tex]
But, original statement is [tex]g\left(7.5\right)=7[/tex]
So, the original statement is NOT TRUE.
Keywords: function, Rounded to the nearest 1 or
the Ones Place
Learn more about function evaluation from brainly.com/question/11743679
#learnwithBrainly
