What is Meant By Graphing Functions?
Graphing functions are when we draw the curve that is taken by the function on a coordinate plane. Suppose that a curve (graph) only represents a function; then every point on the curve should also be a value of the function equation.
For instance, the respective graph of the linear function is shown below. It is represented as f(x)= -x + 2.
For instance, suppose we move from the start of this line to another point, such as (-1, 3). Let us replace (-1, 3) by (x, y) (for example, x = -1 and y = 3) and then, in f(x) = -x + 2, switch the roles of variables (now this can also be denoted as y = -x + 2). Then
- 3 = -(-1) + 2
- 3 = 1 + 2
- 3 = 3, thus, (-1, 3) satisfies the function.
Similarly, make similar points and look to see if they work in the equation. Every curve point (commonly called “line”), in particular, is the function that is used. This process of making such curves that are involved in the topic of function is popularly known by the name graphing functions.
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