Yes, a linear function can be continuous but not have a domain and range of all real numbers. For example, the function ( f(x) = 2x + 3 ) is continuous, but if it is defined only for ( x \geq 0 ), its domain is limited to non-negative real numbers. Consequently, the range will also be restricted to values greater than or equal to 3, demonstrating that linear functions can have restricted domains and ranges while remaining continuous.
a linear equation is simply an equation in the form x+y quadratics, cubics and quartics are all non-linear, and are in the following forms Quadratics - x^2+x+y Cubics - x^3+x^2+x+y Quartics - x^4+x^3+x^2+x+y
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 a small minority of functions.
Most functions are not like linear equations.
They both are constant and they also have a specific domain of the natural number.
All linear equations are functions but not all functions are linear equations.
a linear equation is simply an equation in the form x+y quadratics, cubics and quartics are all non-linear, and are in the following forms Quadratics - x^2+x+y Cubics - x^3+x^2+x+y Quartics - x^4+x^3+x^2+x+y
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.
It can be anything that you choose it to be. It can be the whole real line or any proper subset - including disjoint subsets. It can be matrices, all of the same dimensions (Linear Algebra is based on them) or a whole host of other alternatives.
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.
identity linear and nonlinear functions from graph
The electron domain geometry for CS2 is linear, as sulfur has two bonding pairs and no lone pairs of electrons around it.