Linear functions, Mathematics

Assignment Help:

Linear functions are of the form:

y = a0 + a1 x1 + a2 x2 + ..... + an xn

where a0, a1, a2 ..... an are constants and x1, x2 ..... xn are n variables. (These functions are used in regression).

In a two dimensional space, a linear function is a straight line and is usually written as y = a + mx.

The Y-intercept is a and the slope of the line is m.

If m = 0; y = a is a line parallel to the X-axis.

If m > 0; as x increases, y increases. The line rises from left to right.

If m < 0: As x increases, y decreases. The line falls from left to right.

This is illustrated below.

Figure 

2175_linear function.png

Example 

Straight line depreciation is a linear function of the number of years that have elapsed. This can be expressed in a functional form as:

BV

= C - [C/N]   X
where,        

BV

= book value of the asset

= original cost of the asset

N

= estimated economic life of the asset

X

= number of years that have elapsed.

Related Discussions:- Linear functions

Arithmetic sequence, find a30 given that the first few terms of an arithmet...

find a30 given that the first few terms of an arithmetic sequence are given by 6,12,18...

Pre-calculas, find the polar coordinates of each point with the given recta...

find the polar coordinates of each point with the given rectangular coordinates. (-(squareroot(3)),3

SHOPPERS`STOP, 3. How are Indian customers visiting Shoppers’ Stop any diff...

3. How are Indian customers visiting Shoppers’ Stop any different from customers of developed western countries? 4. How should Shoppers’ Stop develop its demand forecasts?

Tutor, how can i apply as tutor

how can i apply as tutor

Vectors, apllication in business and economics

apllication in business and economics

Sciencetific notations, how would you answer a question like this on here ...

how would you answer a question like this on here (8x10^5)

KENDE QE MBESHTETEN NE TE NJEJTIN HARK, korda ab e ndan rrethin me qender o...

korda ab e ndan rrethin me qender o ne dy harqe njeri prej tyre eshte sa trefishi i tjetrit gjeni masat e harqeve dhe masat e trekendeshit aob

What is the length of one side of the square, The area of a square is 64 cm...

The area of a square is 64 cm 2 . What is the length of one side of the square? To find out the area of a square, you multiply the length of a side through itself, because all

Nonhomogeneous differential equations, Let's here start thinking regarding ...

Let's here start thinking regarding that how to solve nonhomogeneous differential equations.  A second order, linear non-homogeneous differential equation is as y′′ + p (t) y′ +

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd