Step-by-step explanation:
Considering the function
![g\left(x\right)=x](https://tex.z-dn.net/?f=g%5Cleft%28x%5Cright%29%3Dx)
Checking the statement A)
As
![g\left(x\right)=x](https://tex.z-dn.net/?f=g%5Cleft%28x%5Cright%29%3Dx)
Putting x = -5.7 in the function
![g\left(-5.7\right)=-5.7](https://tex.z-dn.net/?f=g%5Cleft%28-5.7%5Cright%29%3D-5.7)
Rounded to the nearest 1 or the Ones Place.
![g\left(-5.7\right)=-6](https://tex.z-dn.net/?f=g%5Cleft%28-5.7%5Cright%29%3D-6)
But, original statement is
.
So, the original statement is NOT TRUE.
Checking the statement B)
As
![g\left(x\right)=x](https://tex.z-dn.net/?f=g%5Cleft%28x%5Cright%29%3Dx)
Putting x = -2.3 in the function
![g(-2.3) = -2.3](https://tex.z-dn.net/?f=g%28-2.3%29%20%3D%20-2.3)
Rounded to the nearest 1 or the Ones Place.
![g(-2.3)=-2](https://tex.z-dn.net/?f=g%28-2.3%29%3D-2)
As original statement is also
.
So, the original statement is TRUE.
Checking the statement C)
As
![g\left(x\right)=x](https://tex.z-dn.net/?f=g%5Cleft%28x%5Cright%29%3Dx)
Putting x = -0.6 in the function
![g(-0.6) = -0.6](https://tex.z-dn.net/?f=g%28-0.6%29%20%3D%20-0.6)
Rounded to the nearest 1 or the Ones Place.
![g(-0.6) = -1](https://tex.z-dn.net/?f=g%28-0.6%29%20%3D%20-1)
As original statement is also
.
So, the original statement is TRUE.
Checking the statement D)
As
![g\left(x\right)=x](https://tex.z-dn.net/?f=g%5Cleft%28x%5Cright%29%3Dx)
Putting x = 4.1 in the function
![g\left(4.1\right)=4.1](https://tex.z-dn.net/?f=g%5Cleft%284.1%5Cright%29%3D4.1)
Rounded to the nearest 1 or the Ones Place.
![g\left(4.1\right)=4](https://tex.z-dn.net/?f=g%5Cleft%284.1%5Cright%29%3D4)
But, original statement is
.
So, the original statement is NOT TRUE.
Checking the statement E)
As
![g\left(x\right)=x](https://tex.z-dn.net/?f=g%5Cleft%28x%5Cright%29%3Dx)
Putting x = 7.5 in the function
![g\left(7.5\right)=7.5](https://tex.z-dn.net/?f=g%5Cleft%287.5%5Cright%29%3D7.5)
Rounded to the nearest 1 or the Ones Place.
![g\left(7.5\right)=8](https://tex.z-dn.net/?f=g%5Cleft%287.5%5Cright%29%3D8)
But, original statement is ![g\left(7.5\right)=7](https://tex.z-dn.net/?f=g%5Cleft%287.5%5Cright%29%3D7)
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
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