## 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 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 C = original cost of the asset N = estimated economic life of the asset X = number of years that have elapsed.

#### Integration and differentiation, Integration and Differentiation Diffe...

Integration and Differentiation Differentiation deals along with the determination of the rates of change of business activities or merely the process of finding the derivativ

#### Operation reasearch, classify problems in operation reseach?

classify problems in operation reseach?

cos^2a+sin^2a

34+8-76=

#### Algegra, what''s the main purpose of algebra in our daily life

what''s the main purpose of algebra in our daily life

#### Example of integrals involving trig functions, Example of Integrals Involvi...

Example of Integrals Involving Trig Functions Example: Estimate the following integral. ∫ sin 5 x dx Solution This integral no longer contains the cosine in it that

#### Definition of differential equation, The first definition which we must cov...

The first definition which we must cover is that of differential equation. A differential equation is any equation that comprises derivatives, either partial derivatives or ordinar

#### Initial value problem, cos(x)y''+sin(x)y=2cos^3(x)sin(x)-1

cos(x)y''+sin(x)y=2cos^3(x)sin(x)-1

#### Logarithm, The function A(t) = 5(0.7)^t was used to define the amount A in ...

The function A(t) = 5(0.7)^t was used to define the amount A in milliliters of a drug in the bloodstream t hours after the drug was ingested. Determine algebraically the time it wi

#### Homework Help, 4x+8=32

4x+8=32  