Graphical solving of inequalities Approximate solution of inequalities. Graphical solving of inequalities in one unknown. Graphical solving of systems of simultaneous inequalities in two unknowns. Intersection of solutions. Graphical representation of functions permits to solve approximately inequalities in one unknown and systems of simultaneous inequalities in … [Read more...]

## Graphical solving of equations

Graphical solving of equations Approximate solution of equations. Graphical solving of equations in one unknown. Graphical solving of systems of simultaneous equations in two unknowns. Graphical representation of functions permits to solve approximately any equation in one unknown and a system of two simultaneous equations in two unknowns. To solve a system of two … [Read more...]

## Elementary functions and their graphs

Elementary functions and their graphs Proportional values. Linear function. Inverse proportionality. Hyperbola. Quadratic function. Quadratic parabola. Power function. Cubic parabola. Exponential function. Logarithmic function. Trigonometric functions. Sinusoid. Intervals of monotony. Inverse trigonometric functions. 1. Proportional values. If … [Read more...]

## Composite function

Composite function Consider the function: y = sin 2 ( 2x ) . Actually, this record means the following chain of functional transformations: u = 2x --> v = sin u --> y = v 2 , that can be written by symbols of functional dependences in a general view as: u = f1 ( x ) --> v = f2 ( u ) --> … [Read more...]

## Inverse function

Inverse function If to change an argument and a function by roles, then x will be a function of y. In this case we say about a new function, called an inverse function. Assume, we have a function: v = u 2 , where u is an argument and v is a function. If to change them by roles, we’ll receive u as a function of v : If to mark in both of the functions an … [Read more...]