# Tag: Functions Graphs Relations

## Pie Charts

A Pie chart is a circular diagram divided into sectors, with the size of each sector representing the magnitude of data it is depicting. Each sector of a pie chart can either be displayed in percentages (note all sectors must add up to 100%) or as an angle (note all sectors must add up to…

## Equation Of A Line

Given the graph of the line In this instance, the graph of a line is given and the question requires finding the equation of the line. Example Find the equation of the line above. Solution: The equation of a straight line is, y = mx + c Recall, c is the y intercept (the point…

## Linear Functions

Linear functions are those of the form, f(x) = ax + c, where, a and c are integers, and linear means a straight line. Recall that, y = f(x) Therefore,  y = ax + c Where, y is the dependent variable a is the coefficient of x x is the independent variable c is the…

## Relations

Relations The equation, y= 5x+2, is a relation. A relation is defined as a set of ordered pairs that abides to a specific rule. So with the equation, y= 5x+ 2, the specific rule that applies to it is: When, x = 3 y = 5(3) + 2 y = 15 + 2 y =…

## Functions

Functions A function is a relation in which each member of the domain (this is the set of x values) is mapped to only one member of the range (this is the set of y values), that is, a one to one mapping. A function is also defined in terms of a many to one…

## Relation vs Function

Relation vs Function The difference between a function and a relation is that for a function each domain value (x value) should be matched to one and only one range value (y value), while for a relation the domain value can be matched to more than one range value. This difference is shown using an…

Quadratic Functions Quadratic functions are those of the form, f(x) = ax2 + bx + c Where,                 a, b and c are all integers And,      f(x) or y is the dependent variable a is the coefficient of x2 b is the coefficient of x c is the y intercept x is the independent…

## Bar Charts

Bar Charts A Bar chart is a series of rectangular bars of the same width, drawn vertically or horizontally, with an equal space between them, with the height of each bar being a depiction of the data it is representing. Example The table below lists several models of Blackberry cellular phones and the amount of…

## Line Graphs

Line Graphs Line graphs are mostly used in depicting trends, and as such, values are in most cases plotted against time. A line graph is drawn by connecting a line to consecutive values, with a circle/point made at each value being depicted. Example The table below lists the amount of Toyota motor vehicles produced in…

## Histograms

Histograms A histogram is quite similar to Bar charts in that they both have rectangular bars. However, with Histograms the bars can be of different widths, there are no spaces between each (as there is a standard scale on the horizontal axis i.e 1, 2 etc) and the bars must be vertical. The height of…