Question

What is linear functions and what is non linear functions

Answer 1

Linear functions: Are the ones represented by a line in a graph. Their characteristic is that their equation has the form:

`f(x)=mx+b`

Where m is the slope of the line, and b is the y-intercept of the line.

Some examples of linear functions:

`\begin{gathered} f(x)=3x+2 \\ f(x)=-10x-5 \\ f(x)=9x \end{gathered}`

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:

`\begin{gathered} f(x)=x^3+1 \\ f(x)=(1)/(x) \end{gathered}`

And some examples of graphed non-linear functions: