All linear equations are functions but not all functions are linear equations.
Exponentail functions
He memorized tables of functions, exponential functions, logarithmic functions, etc, ... try looking up "handbook of mathematical functions"
Yes. You would have to multiply to change it.
x = constant.
No, but they are examples of linear functions.
All linear equations are functions but not all functions are linear equations.
== Linear equations are those that use only linear functions and operations. Examples of linearity: differentiation, integration, addition, subtraction, logarithms, multiplication or division by a constant, etc. Examples of non-linearity: trigonometric functions (sin, cos, tan, etc.), multiplication or division by variables.
Some examples: f(x)= 3x + 2 f(x)= x f(x)= -2x -1
They are not. A vertical line is not a function so all linear equations are not functions. And all functions are not linear equations.
Linear equations are always functions.
Linear equations are a small minority of functions.
Most functions are not like linear equations.
A linear equation is a special type of function. The majority of functions are not linear.
There are linear functions and there are quadratic functions but I am not aware of a linear quadratic function. It probably comes from the people who worked on the circular square.
Three of many examples: non-negative. non-trivial. non-linear.
The axis of symmetry. Which is a line that you can reflect two functions of off the axis of symmetry.