In elementary mathematics function call a certain dependence of one parameter on another. Functions are linear and nonlinear. A linear function graph – a straight line, nonlinear – the curve, each of sites of which has various inclination.
It is required to you
- - calculator,
- - pencil,
- - graph paper,
- - ruler.
Instruction
1. Linear function has an appearance: C = Ax + Vugde And, In and With – some numerical values. That is change of an argument x involves proportional change of function y. On graphics it looks in the form of the straight line passing through "0" if "C" is equal to zero; a straight line of parallel abscissa axis if "And" it is equal to zero; and a straight line of parallel ordinate axis, if "In" equal to zero. In case "And" or "In" are equal to zero, function takes a constant form.
2. Bring the function equation into a look convenient for creation of its schedule: y = A/Bx + C/B, where A/V – the slope characterizing a tilt angle of a linear function graph. It is equal to a tangent of angle between a straight line of the schedule of linear dependence and abscissa axis – the corner is measured up from axis X. Depending on that, positive value of slope or negative, this corner sharp or stupid. In case the value "C" is equal to zero, the equation takes a form: y = And / VhFunktsiya of such look is called direct proportionality.
3. Substitute any value of an argument in function y equation x. Postpone this value x for abscissa axes.
4. Postpone the calculated value of function for ordinate axes, nacherchenny on graph paper.
5. Carry out by means of a ruler, from the value of an argument postponed for abscissa axes a vertical before its crossing with the horizontal which is carried out from the received value of function postponed for ordinate axes. Crossing of these lines – the first point of a linear function graph. Let's call it a point of D.
6. Repeat the same actions for other value of an argument.
7. Find the second point of a linear function graph, having postponed on axes of abscissa and ordinates the corresponding values x and y. Let it will be F point.
8. Draw D and F straight line through points. It is also the schedule of our linear function. Construction is finished.