which are points on the graph of y = 1.5 + x? select three options (-4.5, -2.5) (-0.8, 0.5) (7.9, 9.5) (4.5…

Explanation:

Step1: Recall the definition of the greatest - integer function

The greatest - integer function $[x]$ gives the greatest integer less than or equal to $x$.

Step2: Check the point $(-4.5,-2.5)$

For $x=-4.5$, $[x]= - 5$. Then $y = 1.5+[x]=1.5+( - 5)=-3.5\neq - 2.5$. So $(-4.5,-2.5)$ is not on the graph.

Step3: Check the point $(-0.8,0.5)$

For $x = - 0.8$, $[x]=-1$. Then $y=1.5+[x]=1.5+( - 1)=0.5$. So $(-0.8,0.5)$ is on the graph.

Step4: Check the point $(7.9,9.5)$

For $x = 7.9$, $[x]=7$. Then $y=1.5+[x]=1.5 + 7=8.5\neq9.5$. So $(7.9,9.5)$ is not on the graph.

Step5: Check the point $(4.5,6)$

For $x = 4.5$, $[x]=4$. Then $y=1.5+[x]=1.5 + 4=5.5\neq6$. So $(4.5,6)$ is not on the graph.

Step6: Check the point $(1.3,3.5)$

For $x = 1.3$, $[x]=1$. Then $y=1.5+[x]=1.5 + 1=2.5\neq3.5$. So $(1.3,3.5)$ is not on the graph.

Answer:

$(-0.8,0.5)$