Linear functions: Are the ones represented by a line in a graph. Their characteristic is that their equation has the form:
[tex]f(x)=mx+b[/tex]
Where m is the slope of the line, and b is the y-intercept of the line.
Some examples of linear functions:
[tex]\begin{gathered} f(x)=3x+2 \\ f(x)=-10x-5 \\ f(x)=9x \end{gathered}[/tex]
And some examples of graphed linear functions:
Non-linear functions: Are the functions that have an exponent on the x different from 1, and they are not represented by lines.
Some examples of non-linear functions:
[tex]\begin{gathered} f(x)=x^3+1 \\ f(x)=\frac{1}{x} \end{gathered}[/tex]
And some examples of graphed non-linear functions:
