Is f: R R , f(x)= x is many-one function? - Vidyadip

Question

Is $f: R \rightarrow R , f(x)=\sin x$ is many-one function?

✓

Answer

$f: R \rightarrow R , f(x)=\sin x$ is many-one function because $\sin x$ is recurring function or for more than one angles $\sin x$ has same value.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "1 Marks" from Relations and Functions→Relations and Functions — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

Discuss the continuity of the function f, where f is defined by: $f(x)=\left\{\begin{array}{ll} {2 x,} & {\text { if } x<0} \\ {0,} & {\text { if } 0 \leq x \leq 1} \\ {4 x,} & {\text { if } x>1} \end{array}\right.$

If $\vec{\text{P}}$ (1, 5, 4) and $\vec{\text{Q}}$ (4, 1, -2), find the direction ratios of $\vec{\text{PQ}}$.

Integrate the following function :
$
\cos ^3 x \cdot e^{\log _e \sin x}
$

If a machine is correctly set up, it produces 90% acceptable items. If it is incorrectly set up, it produces only 40% acceptable items. Past experience shows that 80% of the set ups are correctly done. If after a certain set up, the machine produces 2 acceptable items, find the probability that the machine is correctly setup.

Find the angle between the vectors $\overrightarrow{a} = \hat{i} - \hat{j} +\hat{k}$ and $\overrightarrow{b} = \hat{i} + \hat{j} -\hat{k}$

Classify the following as scalar and vector quantities:
Distance.

Determine order and degree (if defined) of differential equations given in Exercise.
y''' + 2y" + y' = 0

For what values of a the function f given by f(x) = x² + ax + 1 is increasing on [1, 2]?

Write a unit vector in the direction of the sum of the vectors $\vec{\text{a}}=2\hat{\text{i}}+2\hat{\text{j}}-5\hat{\text{k}}\ \text{and}\ \vec{\text{b}}=2\hat{\text{i}}+\hat{\text{j}}-7\hat{\text{k}}$

Write the differential equation obtained emliminating the arbitrary constant C in the equation xy = C².