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

An integer is a number with no decimal or fractional part from the set of negative and positive numbers, including zero.

## Answer: The description is mentioned in the below explanation.

We will use the concept of the Graphing Integers on a Number Line.

**Explanation:**

The greatest integer equation takes a real number and rounds it down to the nearest integer.

For example, if f(x) = [x]

If x = 1.3, f(x) = [1.3] = 1

If x = 0.9, f(0.9) = [0.9] = 0

Here, the given function is y = 4[x+2], which is the greatest integer function, and it is described on [0,3) where 0 is included, and 3 is excluded.

- For the values of 0 ≤ x < 1,

We take x = 0 ⇒ y = 4(0+2) = 8

- For, 1 ≤ x < 2,

We take x = 1, ⇒ y = 4(1+2) = 12

- For, 2 ≤ x < 3,

We take x = 2, ⇒ y = 4(2+2)=16

Let's look into the graph of the function shown below:

### Thus, we have described the graph of y = 4[x+2] on [0, 3).

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