What Are The Characteristics Of Graph?

What are the 4 main features of a graph?

Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity..

What are the main characteristics of a function?

A function is a relation in which each possible input value leads to exactly one output value. We say “the output is a function of the input.” The input values make up the domain, and the output values make up the range.

What is the purpose of line graphs?

Line graphs are used to track changes over short and long periods of time. When smaller changes exist, line graphs are better to use than bar graphs.

What are key points on a graph?

Elements of a GraphA graph is a visual representation of a relationship between two variables, x and y.A graph consists of two axes called the x (horizontal) and y (vertical) axes. These axes correspond to the variables we are relating. … The point where the two axes intersect is called the origin.

How do you describe a function?

DESCRIBING FUNCTIONSStep 1 : To describe whether function represented by the equation is linear or non linear, let us graph the given equation. … Step 2 : Graph the ordered pairs. … Step 3 : Describe the relationship between x and y. … Step 1 :Step 2 : Graph the ordered pairs. … Step 3 : Describe the relationship between x and y.

How do you determine a function?

A relation is a function if each x-value is paired with exactly one y-value. You can use the vertical line test on a graph to determine whether a relation is a function. If it is impossible to draw a vertical line that intersects the graph more than once, then each x-value is paired with exactly one y-value.

What are the disadvantages of graphs?

The major disadvantage of using charts and graphs is that these aids may oversimplify data, which can provide a misleading view of the data. Attempting to correct this can make charts overly complex, which can make their value in aiding a presentation less useful.

What are the advantages and disadvantages of using charts and graphs?

Advantages: summarize a large dataset in visual form; easily compare two or three data sets; better clarify trends than do tables; estimate key values at a glance. Disadvantages: require additional written or verbal explanation; can be easily manipulated to give false impressions.

How do you tell if a graph is a function?

Mentor: Look at one of the graphs you have a question about. Then take a vertical line and place it on the graph. If the graph is a function, then no matter where on the graph you place the vertical line, the graph should only cross the vertical line once.

WHAT IS function and their graphs?

A function can also be described as a set of ordered pairs (x, y) such that for any x-value in the set, there is only one y-value. … This graphical representation allows us to use a test to decide whether or not we have the graph of a function: The Vertical Line Test.

What are the key features of an exponential graph?

Graphs of Exponential FunctionsThe graph passes through the point (0,1)The domain is all real numbers.The range is y>0.The graph is increasing.The graph is asymptotic to the x-axis as x approaches negative infinity.The graph increases without bound as x approaches positive infinity.The graph is continuous.More items…

How do you describe a graph?

Describing language of a graphUP: increase / rise / grow / went up / soar / double / multiply / climb / exceed /DOWN: decrease / drop / fall / decline / plummet / halve / depreciate / plunge.UP & DOWN: fluctuate / undulated / dip /SAME: stable (stabilised) / levelled off / remained constant or steady / consistent.More items…

How do you determine if a relation is a function?

How To: Given a relationship between two quantities, determine whether the relationship is a function.Identify the input values.Identify the output values.If each input value leads to only one output value, classify the relationship as a function.

What are the characteristics of a line graph?

Line graphs consist of two axes: x-axis (horizontal) and y-axis (vertical), graphically denoted as (x,y). Each axis represents a different data type, and the points at which they intersect is (0,0). The x-axis is the independent axis as its values are not dependent on anything measured.

What are the three characteristics of a function?

There are several characteristics of functions, we’ll look at them below.Odd and Even functions. A function can be odd or even. … Increasing and decreasing functions. A function is said to be an increasing function when the value of y increases as the values of x increase in the given domain. … Stationary point.

What are the advantages of line graphs?

Line graphs can give a quick analysis of data. You’re able to quickly tell the range, minimum/maximum, as well as if there are any gaps or clusters. This also means that it can easily observe changes over a certain period of time. When drawing them, you’re able to use exact values from your data.

What is a disadvantage of a bar graph?

Bar charts that attempt to represent wide ranges of numbers will struggle to efficiently communicate their message. … Bar graphs tend to be locked into a particular data set, making it hard to show multiple values or changes over time unless the chart is modified, such as by making the bars layered and three-dimensional.

What are the features of a bar graph?

Bar graphs have an x-axis and a y-axis. In most bar graphs, like the one above, the x-axis runs horizontally (flat). Sometimes bar graphs are made so that the bars are sidewise like in the graph below. Then the x-axis has numbers representing different time periods or names of things being compared.