AP EAMCET · Maths · Functions
If is defined as then is
- A not a function
- B a periodic function with period
- C a periodic function with period
- D an invertible function
Answer & Solution
Correct Answer
(C) a periodic function with period
Step-by-step Solution
Detailed explanation
f:R→R f(x)=x-[x]+3 ⇒f(x)={x}+3 {x} is periodic with period So, f(x) is periodic with period 1.
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- In any
\[
\triangle A B C, \frac{(a+b+c)(b+c-a)(c+a-b)(a+b-c)}{4 b^2 c^2}
\]
equals toAP EAMCET 2014 Hard - AP EAMCET 2022 Medium
- Let \(\quad f(x)=e^x, \quad g(x)=\sin ^{-1} x \quad\) and \(h(x)=f(g(x))\), then \(\frac{h^{\prime}(x)}{h(x)}\) is equal toAP EAMCET 2002 Medium
- \(\int_{\pi / 4}^{\pi / 3} \frac{\cos x-\sin x}{\sin 2 x} d x=\)AP EAMCET 2025 Medium
- If the roots of the equation \(6 x^3-11 x^2+6 x-1=0\) are in harmonic progression, then the roots of \(x^3-6 x^2+11 x-\) \(6=0\) will be inAP EAMCET 2023 Easy
- The maximum value of \(y=x(\log x)^2\) isAP EAMCET 2021 Medium
More PYQs from AP EAMCET
- Bill and George go target shooting together. Both shoot at a target at the same time. Suppose Bill hits the target with probability 0.7 where as George, independently, hits the target with probability 0.4. Given that exactly one shot hit the target, what is the probability that it was George's shot?AP EAMCET 2020 Easy
- The maximum volume (in cubic units) of the cylinder which can be inscribed in a sphere of diameter 6 units isAP EAMCET 2019 Easy
- In \(\triangle A B C, \frac{16 \mathrm{R} s \Delta \sin \frac{A}{2} \sin \frac{B}{2} \cos \frac{C}{2}}{s-c}\) is equal toAP EAMCET 2021 Medium
- If \(\frac{x^2}{\left(x^2+2\right)\left(x^4-1\right)}=\frac{A}{x^2-1}+\frac{B}{x^2+1}+\frac{C}{x^2+2}\), then \(A+B-C=\)AP EAMCET 2025 Medium
- If \(\mathbf{a}, \mathbf{b}, \mathbf{c}\) and \(\mathbf{r}\) are vectors such that \(\mathbf{a}\) is not perpendicular to \(\mathbf{b} \cdot \mathbf{r} \times \mathbf{b}=\mathbf{c} \times \mathbf{b}\) and \(\mathbf{r} \cdot \mathbf{a}=\mathbf{0}\) then \(\mathbf{r}=\)AP EAMCET 2020 Medium
- If \(\theta\) is any angle, then \(\sin ^2 \theta \cos ^2 \theta=\)AP EAMCET 2022 Easy