Graphing Basic Functions

Creating and analyzing simple functions like linear functions and quadratic functions is straightforward. The fundamental concept of graphing for functions in math.

  • In this case, find out the mold if possible. There is an example to make things clear: if it is a linear function of the form f(x) = ax + b, then its graph will be a line, and if it is a quadratic function of the type f(x) = ax2 + bx + c, then its graph will be a parabola.
  • By selecting some points on it, you can replace these points with the corresponding values’ substitution by the function for each value.

Here are some examples.

Graphing Function

Graphing Function is the process of illustrating the graph (the curve) for the function that corresponds to it. Plotting simple functions like linear, quadratic, cubic, et al. examples doesn’t pose a challenge; depicting functions of a more complex nature like rational, logarithmic, and others requires some skill and some mathematical knowledge to understand them correctly. 

In this part, you will be introduced to the joining path of the graphing function, where, in addition to its role as a hunting ground for space in the different fields of mathematics, its application in economics and engineering.

Table of Content

  • What is Meant By Graphing Functions?
  • Graphing Basic Functions
  • Graphing Linear Functions
  • Graphing Quadratic Functions
  • Graphing Complex Functions
  • Graphing Rational Functions
  • Graphing Exponential Functions
  • Graphing Logarithmic Functions
  • Graphing Functions by Transformations

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What is Meant By Graphing Functions?

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Graphing Basic Functions

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Graphing Linear Functions

What about doing the same thing as in the previous section but only with the linear function plotted: (f(x) = -x + 2) Consequently, we create a table of values by selecting some random numbers x=0 and x = 1. Now, substitute the values and pass each as an argument to the expression y = -x + 2 to compute the y values....

Graphing Quadratic Functions

For graphing quadratic functions also, we can find some arbitrary points on it. But this may not give a perfect U-shaped wind. This is because, to get a perfect U-shaped wind, we need where the wind is turning. i.e., we’ve to find its vertex. After changing the vertex, we can find two or three arbitrary points on each side of the vertex and they would help in graphing the function....

Graphing Complex Functions

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Graphing Rational Functions

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Graphing Exponential Functions

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Graphing Logarithmic Functions

To graph a logarithmic curve, choose the function, for example, f(x) = 2log2x – 2. We can now sketch this chemical reaction by following the steps demonstrated before....

Graphing Functions by Transformations

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Graphing Functions Examples

Example 1: Determine which of the following points lie on the graph of function f( x) = 2x3 – 2? ( a)( 1, 1)( b)( 1, 0)( c)( 2, 6)....

Practice Questions on Graphing Functions

1. Draw the graph of following functions:...

FAQs on Graphing Functions

What is a Function?...