Select the correct graph of the function $f (x) = [x],$ where [.] represents the greatest integer function.

Open in App

Solution

For any real number $x$ and $n \in I$ such that $n \leq x < n + 1 \Rightarrow [x] = n .$
$\begin{matrix} x & y = [x] . . . & . . . [- 3, - 2) & - 3 [- 2, - 1) & - 2 [- 1, 0) & - 1 [0, 1) & 0 [1, 2) & 1 [2, 3) & 2 [3, 4) & 3 . . . & . . . \end{matrix}$

Now, we can draw the graph as:

Suggest Corrections

Similar questions

f (x) = [[x]] - [x - 1]

[.]

f (x) = \sqrt{3 + 2 [x] - [x]^{2}},

[.]

f (x) = \sqrt{[x] - 1}

f (x)

f (x) = {\begin{matrix} | x | \forall x \in [- 2, 2] [x] \forall x \in [2, 4] \end{matrix}

[\cdot]

f (x) = c o s (π (| x | + 2 [x]))

Join BYJU'S Learning Program