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A continuous linear decreasing function is a line that goes on forever and has a negative slope (is downhill from left to right). For example, the line y = -x is a continuous linear decreasing function.
Not at all.Y = x2 is a continuous function.
An equation is a statement that two things are equal. A function is a rule or process that gives you a value if you give it something in its domain (the set of things on which it is defined) as an argument. Functions on numbers that are defined by a rule can usually be expressed by an equation. A linear function is one that can be defined by a linear equation.
These terms describe functions.A continuous function looks like a straight line or a curve, depending on if it is linear or quadratic.A discrete function looks like dots on a number line, only covering the integers, instead of numbers in between.
A continuous linear function produces a straight line graph that can be extended indefinitely in either direction. If the two ordered pairs are plotted on a graph then a straight line can be drawn joining these points. If that line is extended beyond both ends then there are no set limits and the function becomes continuous.
A continuous linear decreasing function is a line that goes on forever and has a negative slope (is downhill from left to right). For example, the line y = -x is a continuous linear decreasing function.
Assuming the domain is unbounded, the linear function continues to be a linear function to its end.
Not at all.Y = x2 is a continuous function.
It is a continuous function. If the line is a straight line, it is a linear function.
Both are polynomials. They are continuous and are differentiable.
An equation is a statement that two things are equal. A function is a rule or process that gives you a value if you give it something in its domain (the set of things on which it is defined) as an argument. Functions on numbers that are defined by a rule can usually be expressed by an equation. A linear function is one that can be defined by a linear equation.
The function is a simple linear function and so its nature does not limit the domain or range in any way. So the domain and range can be the whole of the real numbers. If the domain is a proper subset of that then the range must be defined accordingly. Similarly, if the range is known then the appropriate domain needs to be defined.
The range is the y, while the domain is the x.
These terms describe functions.A continuous function looks like a straight line or a curve, depending on if it is linear or quadratic.A discrete function looks like dots on a number line, only covering the integers, instead of numbers in between.
A group has group operations. If these operations are continuous, it is called a continuos group. Addition of the real numbers under addition with the linear topology is one example. If I apply the discrete topology to any group, I can make it continuous. Note: we need continuous function and inverse!
It is a bijection [one-to-one and onto].
Linear equations are a tiny subset of functions. Linear equations are simple, continuous functions.