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# What is a Function?

A function can be expressed in many ways, some of them being linear, quadratic, logarithmic functions etc. But just like numbers there are operations which can be used even on functions.

# How To Write The Best College Assignment? Follow the General Advice

Intelligent students can effortlessly write a best college assignments. Professors and teachers are conscious of the actual fact that many students aren’t able to write properly because they fall short of their skills or passion to write effectively. Numerous subjects are taught in the universities. At times few learners aren’t keen to write their college assignment. But they cannot overlook its significance as they won’t do anything good to themselves. As a learner, if you don’t know how to write assignments appropriately, then you can take a help!

# What is Expressions, Equations and Relationships ?

Expression is a simple math relationship between a variable and a number. The variable is the quantity which can take any value accordingly (usually represented by an alphabet). However an Equation relates two different expressions with an ‘equality’ sign

Examples of Expressions:

# What is Convergence and Divergence in Calculus Mathematics ?

Convergence and Divergence – In Sequences and Series, we can find whether the given function converges or diverges. A function is said to converge if its limit value exists and is finite. A function is said to diverge if it’s limit value does not exist(or rather approaches infinity).

# How do Find that equation is a linear or nonlinear function?

How to find Linear or Nonlinear Function. Linear functions are of the general form, f(x) = ax+b, where ‘a’ and ‘b’ are constants. The relationship between ‘x’ and ‘f(x)’ in a linear equation gives us a straight line and the constants ‘a’ and ‘b’ gives us additional details about how the straight line is formed.

This relationship can be expressed either in algebraic form like an equation, or in graphical form by drawing graphs.

General ordered pair ->

Function notation ->

Example: Given are two coordinate points in function notation, write down in ordered pairs form.

f(3) = 10                   f(0) = -4                    f(-6) = 17

(x, y) = (3,10)                  (x,y) = (0,-4)              (x,y) = (-6,17)

Example: If f(x) = 2x + 3, find f(0), f(1), f(-1).

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 You can also Read our other blog What Is Linear Equation And Inequalities ?

# What is Linear functions?

Linear functions are of the general form, f(x) = ax+b, where ‘a’ and ‘b’ are constants. The relationship between ‘x’ and ‘f(x)’ in a linear equation gives us a straight line.

# What is linear equation and inequalities?

Linear Equations: The general form of a linear equation is ax + by + c =0 where a, b, c are constants and  . A linear equation may contain one variable or two variables

Example:  Solve for x:  6x-18 = 0Adding ‘18’ on both sides gives

6x = 18.  x=18/6 x = 3.Graphs: The graph of a linear equation is always a straight line

Linear Inequalities: Linear inequalities are similar to linear equations except for few differences.

Example: Solve 2x – 8 < 4 and graph the solution set on number line.

Graphs: The graph of a linear inequality is a straight line with open or closed half planes.

Graph y < x – 2                                           Graph y < x – 2

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 You can also Read our other blog fuctional relationship algebra

# What is Integral Calculus

Just like how Differentiation is the slope of the tangent drawn at a point on the curve, Integration is the area covered by the curve or a graph in a plane. Integration can be used to find areas and volumes below any curve.

Example:Integrate the function: ∫x3dx

So according to the above formula,

For the above example let’s go backwards,

Differentiate the function: y = x4/4

-> y’= x3     ->this is the question in the previous example to integrate!

Hence differentiation and integration are reverse process to each other!

Example: Integrate the function ∫x-2dx

∫x-2dx= x-2+1/-2+1

-> x-1/-1 + c -> -x-1 + c

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 You can also Read our other blog fuctional relationship algebra

# What is Geometry,Problems & Spatial reasoning

Geometry is the study of shapes and sizes, but to build a particular shape or a structure we need
the basic elements as its foundation. The study involves description about different geometric structures and their calculations. Read more

# Geometric Structure Assignment for Geometry Students

Geometry is the study of shapes and their sizes. Using at least 3 lines; a closed geometric shape called Triangles can is formed. As the number of lines increase, so does the number of sides of a particular geometric structure.

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