Question

Describe the graph y=4[x+2] on [0, 3). Be specific in your description.

Answer 1

Answer:  The description is mentioned in the below explanation.

Step-by-step explanation:

Since  greatest integer function rounds down a real number to the nearest integer. for example, if f(x)=[x] and for x =1.3 f(x)= [1.3]= 1

or x= 0.9 f(0.9)= [0.9]= 0

Here, The given function, y=4[x+2]

Which is a greatest integer function and it is described on  [0,3)

So, For the values of  $1 >x\geq 0$,we take  x=0 ⇒ y= 4(0+2)= 8

For,  $2>x\geq 1$ , we take x=1, ⇒ y = 4(1+2)= 12

For,  $3>x\geq 2$ we take x=2, ⇒ y = 4(2+2)=16

Answer 2

There are three steps. The steps are at 8 from 0 to 1, at 12 from 1 to 2, and at 16 from 2 to 3. Closed circles are on the left side of each step, and open circles are on the right.