Exponential Function: A function in which variable appear as power of a constant is called exponential Function. e.g. $y=2^x$, $y=e^x$
Logarithmic Function: The functions $f(x)=\log_a x$ and $f(x)=\log_e x$ are called general and natural logarithmic function respectively.
Explicit Function: If $y$ is easily expressed in term of $x$ then $y$ is called an explicit function. E.g. $y=x^2+3x$
Implicit Function: If y is not expressed in term of x then y is called an implicit function. E.g. $x^2+xy+y^2=4$
Even Function: A function is said to be an even function if $f(-x)=f(x)$
Odd Function: A function is said to be an odd function if $f(-x)=-f(x)$
Circle: “A set of all points in a plane which are equidistant from a fixed point is called circle.” The fixed point is called centre and fixed distance is called radius of circle.
Point Circle: A circle whose radius is zero is called point circle.
Parabola: “A set of all points in a plane which are equidistant from fixed point and fixed line.” The fixed point is called focus and fixed line is called directrix of parabola.
Ellipse: A set of all points in a plane such that distance of each point from a fixed point bear a constant ratio less then one to the distance from a fixed line.
Hyperbola: A set of all points in a plane such that distance of each point from a fixed point bear a constant ratio greater then one to the distance from a fixed line.