Find the period of the following functions fx-x-x-13-x-23-3x-10-

f(x)=[x]+[x+ 1 / 3 ]+[x+ 2 / 3 ] 3x+10 ⇒ [x]+[x+0.33]+[x+0.66] 3x+10 ⇒ [x]+[x]+[x] 3x+10 ⇒ [x] x+10 ⇒ ( x [ x ] #160; ) x+10 [ ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Range

Find the peri...

Question

Find the period of the following functions $f (x) = [x] + [x + \frac{1}{3}] + [x + \frac{2}{3}] - 3 x + 10$ .

Open in App

Solution

Suggest Corrections

Similar questions

f (x) = s i n (\frac{π}{4} [x]) + t a n (\frac{π}{2} [x]) + [x] + [x + \frac{1}{3}]

+ [x + \frac{2}{3}] - 3 x

[\begin{matrix} w h e r e [.] \to the greatest integer function \end{matrix}]

f (x) = 1 - x - x^{2}

f (x) = \frac{3 x + 7}{x - 8}

f (x) = x^{2} + 2 x + 8

f (x) = \frac{4 x - 7}{x - 3}

f (x) = s i n (\frac{π}{4} [x]) + t a n (\frac{π}{2} [x]) + [x] + [x + \frac{1}{3}]

+ [x + \frac{2}{3}] - 3 x

[\begin{matrix} w h e r e [.] \to the greatest integer function \end{matrix}]

f (x) = \frac{1}{[x]} + {log}_{1 - x} (x^{2} - 3 x + 10) + \frac{1}{2 - | x |} + \frac{1}{\sqrt{sec (sin x)}}

f (x) = ⎧ ⎨ ⎩ \begin{matrix} | x - 3 | & , x \geq 1 \frac{x^{2}}{4} - \frac{3 x}{2} + \frac{13}{4} & , x < 1 \end{matrix}

Join BYJU'S Learning Program