Tag: functions and their graphs

If f is even function and g is an odd function, then $f _og$ is ............function.

If $f\left( x \right) = \dfrac{{x + 1}}{{x - 1}},$ then $f\left( x \right) + f\left( {\dfrac{1}{x}} \right) = 0$

The identity function on real numbers given by $f(x)=x$ is continuous at every real numbers.

The minimum value of $f\left( x \right) ={ x }^{ 2 }+2x+3 ,x\in R$ is equal to 

Direction (1-2) : Study the following table which shows the production of three different types of cars over the years.
The difference between the total production of three cars in the year $2004$ and $2006$ is _____.

Direction (1-2) : Study the following table which shows the production of three different types of cars over the years.
The average production of which of the following types of cars was maximum?

Supposen(A) $= 3$ and $n ( B ) = 5 .$ find the number of elements in $A \times B$

If $f:\,\left( {3,6} \right) \to \left( {1,3} \right)$ is a function defined by $f\left( x \right) = x - \left[ {\frac{x}{3}} \right],\,then\,{f^{ - 1}}\left( x \right) = $

The tangents to the graph of the function  $y=f(x)$ at the point with abscissa $x=1$ forms an angle of $\pi/6$ and the point $x=2$ an angle of $\pi/3$ and at the point $x=3$ an angle of $\pi/4$. The value of 
$\displaystyle \int _{1}^{2}{f'(x)f''(x)dx}+\displaystyle \int _{2}^{3}{f''(x)dx}$

The graph of the function $\cos x\cos x(x+2)-\cos^{2}(x+1)$ is