AP EAMCET · Maths · Functions
Let \(\mathrm{f}: \mathbf{R} \rightarrow \mathbf{R}\) defined by \(\mathrm{f}(\mathrm{x})=5 \mathrm{x}^4+2\). Then
- A \(f\) is one-one but not onto
- B \(\mathrm{f}\) is onto but not one-one
- C \(f\) is both one-one and onto
- D \(\mathrm{f}\) is neither one-one nor onto
Answer & Solution
Correct Answer
(D) \(\mathrm{f}\) is neither one-one nor onto
Step-by-step Solution
Detailed explanation
We have a function \(\mathrm{f}: \mathrm{R} \rightarrow \mathrm{R}\) at \(f(x)=5 x^4+2\) \(\operatorname{Sin} \theta f(-2)=f(+2)\) \(\Rightarrow\) function is not one-one and \(\mathrm{f}(\mathrm{x}) \geq 2\) \(\Rightarrow\) function is not on to. hence function is neither…
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
- The locus of the point \(z=x+i y\) satisfying
\(\left|\frac{z-2 i}{z+2 i}\right|=1\) isAP EAMCET 2007 Easy - The remainder when the polynomial \(2 x^5-3 x^4+5 x^3-3 x^2+7 x-9\) is divided by \(x^2-x-3\) isAP EAMCET 2022 Easy
- In a \(\triangle A B C, \frac{a-b}{a+b}=\)AP EAMCET 2022 Medium
- Let \(f(x)=\lim _{y \rightarrow \infty} y\left(x^{1 / y}-1\right)\), and \(2022 f\left(\frac{1}{x}\right)+P f(x)=f\left(x^2\right)\), then \(P=\)AP EAMCET 2022 Hard
- Match the items of List - I with those of List - II
\(\begin{array}{ll}
\text{List - I (Complex number)} & \text{List - II (Polar form)} \\
\text{(i)} \sqrt{3}-i & \text{(a)} 2 \operatorname{cis} \frac{\pi}{6} \\
\text{(ii)} \sqrt{3}+i & \text{(b)} 2 \operatorname{cis} \frac{5 \pi}{6} \\
\text{(iii)} -\sqrt{3}+i & \text{(c)} 2 \operatorname{cis}\left(\frac{-5 \pi}{6}\right) \\
\text{(iv)} -\sqrt{3}-i & \text{(d)} 2 \operatorname{cis}\left(-\frac{\pi}{6}\right) \\
& \text{(e)} 2 \operatorname{cis} \frac{9 \pi}{6} \\
\end{array}\)
The correct matching isAP EAMCET 2017 Easy - If \(x=\frac{1}{2}\left(\sqrt{7}+\frac{1}{\sqrt{7}}\right)\), then \(\frac{\sqrt{x^2-1}}{x-\sqrt{x^2-1}}\) is equal toAP EAMCET 2008 Medium
More PYQs from AP EAMCET
- What is the functional group present in serine, an aminoacid in addition to \(-\mathrm{NH}_2\) and \(-\mathrm{COOH}\) groups?AP EAMCET 2022 Easy
- If the vectors \(2 \overline{\mathrm{i}}+4 \overline{\mathrm{j}}-3 \overline{\mathrm{k}},-\overline{\mathrm{i}}+2 \overline{\mathrm{j}}+3 \overline{\mathrm{k}}\) and \(\mathrm{p} \overline{\mathrm{i}}-2 \overline{\mathrm{j}}+\overline{\mathrm{k}}\) are coplanar, then the unit vector in the direction of the vector \(9 p \bar{i}-4 \bar{j}+4 \bar{k}\) isAP EAMCET 2025 Medium
- AP EAMCET 2021 Medium
- The probability that a man failing to hit a target is \(\frac{1}{3} \cdot\) If he fires 4 times, then the probability that he hits the target at least thrice isAP EAMCET 2024 Easy
- If \(\mathrm{P}=\tan 15^{\circ}+\cot 15^{\circ}, \mathrm{Q}=\tan 22 \frac{1^{\circ}}{2}+\cot 22 \frac{1}{2}_2^{\circ}\) and \(\mathrm{R}=\sin 54^{\circ}+\sin 18^{\circ}\), then their ascending order isAP EAMCET 2023 Medium
- If \(1 \times 1 !+2 \times 2 !+3 \times 3 !+\ldots+n \times n !=11 !-1\), then the maximum value of \({ }^n C_r\) isAP EAMCET 2020 Easy