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What else can I help you with?
How do you sketch a piece wise continuous function?
A piece-wise continuous function is one which has a domain that is broken up inot sub-domains. Over each sub-domain the function is continuous but at the end of the domain one of the following possibilities can occur:the domain itself is discontinuous (disjoint domains),the value of the function is not defined at the start or end-point of the domain ((a hole),the value of the function at the end point of a sub-domain is different to its value at the start of the next sub-domain (a step-discontinuity).A piece-wise continuous function is one which has a domain that is broken up inot sub-domains. Over each sub-domain the function is continuous but at the end of the domain one of the following possibilities can occur:the domain itself is discontinuous (disjoint domains),the value of the function is not defined at the start or end-point of the domain ((a hole),the value of the function at the end point of a sub-domain is different to its value at the start of the next sub-domain (a step-discontinuity).A piece-wise continuous function is one which has a domain that is broken up inot sub-domains. Over each sub-domain the function is continuous but at the end of the domain one of the following possibilities can occur:the domain itself is discontinuous (disjoint domains),the value of the function is not defined at the start or end-point of the domain ((a hole),the value of the function at the end point of a sub-domain is different to its value at the start of the next sub-domain (a step-discontinuity).A piece-wise continuous function is one which has a domain that is broken up inot sub-domains. Over each sub-domain the function is continuous but at the end of the domain one of the following possibilities can occur:the domain itself is discontinuous (disjoint domains),the value of the function is not defined at the start or end-point of the domain ((a hole),the value of the function at the end point of a sub-domain is different to its value at the start of the next sub-domain (a step-discontinuity).
What is function and domain and range and Derivatives?
A function is a mapping or relationship from a set of inputs to a set of outputs such that for each input there is at most one output. The set of inputs is the domain. The set of outputs is the codomain or range. Derivatives are a characteristic of continuous functions. The derivative of a function at any point measures the rate of change in the output for very tiny changes in input, measured at that point.
What is the Peak of a graph called?
the maximum, turning point, peak ?
A value is in the domain of a function if there is a(n) on the graph of the function at that x-value.?
point
A value is in the domain of a function if there is a on the graph of the function at that x value?
i think you are missing the word point in the question, and if so, then yes. the domain of a function describes what you can put into it, and since your putting x values into the function, if there is a point that exists at a certain x value, then that x is included in the domain.
When finding the derivative of a point on a piecewise function does every function in the piecewise function need to be continuous and approach the same limit?
All differentiable functions need be continuous at least.
How is the function differentiable in graph?
If the graph of the function is a continuous line then the function is differentiable. Also if the graph suddenly make a deviation at any point then the function is not differentiable at that point . The slope of a tangent at any point of the graph gives the derivative of the function at that point.
Is it possible for a function to have a negative semidefinite Hessian matrix at a critical point?
Yes, it is possible for a function to have a negative semidefinite Hessian matrix at a critical point.
Where is f(x) discontinuous but not differentiable Explain?
Wherever a function is differentiable, it must also be continuous. The opposite is not true, however. For example, the absolute value function, f(x) =|x|, is not differentiable at x=0 even though it is continuous everywhere.
What things are significant about the vertex of a quadratic function?
It is a turning point. It lies on the axis of symmetry.
Can a void function return a value?
No.. It is not possible at any point
How do you sketch a piece wise continuous function?
A piece-wise continuous function is one which has a domain that is broken up inot sub-domains. Over each sub-domain the function is continuous but at the end of the domain one of the following possibilities can occur:the domain itself is discontinuous (disjoint domains),the value of the function is not defined at the start or end-point of the domain ((a hole),the value of the function at the end point of a sub-domain is different to its value at the start of the next sub-domain (a step-discontinuity).A piece-wise continuous function is one which has a domain that is broken up inot sub-domains. Over each sub-domain the function is continuous but at the end of the domain one of the following possibilities can occur:the domain itself is discontinuous (disjoint domains),the value of the function is not defined at the start or end-point of the domain ((a hole),the value of the function at the end point of a sub-domain is different to its value at the start of the next sub-domain (a step-discontinuity).A piece-wise continuous function is one which has a domain that is broken up inot sub-domains. Over each sub-domain the function is continuous but at the end of the domain one of the following possibilities can occur:the domain itself is discontinuous (disjoint domains),the value of the function is not defined at the start or end-point of the domain ((a hole),the value of the function at the end point of a sub-domain is different to its value at the start of the next sub-domain (a step-discontinuity).A piece-wise continuous function is one which has a domain that is broken up inot sub-domains. Over each sub-domain the function is continuous but at the end of the domain one of the following possibilities can occur:the domain itself is discontinuous (disjoint domains),the value of the function is not defined at the start or end-point of the domain ((a hole),the value of the function at the end point of a sub-domain is different to its value at the start of the next sub-domain (a step-discontinuity).
What is the definition of a continuous function?
Intuitively, a continuous function y = f(x) is one where small changes in x result in small changes in y. More rigorously, consider the function y = f(x) defined on the domain D to the codomain C where both D and C are subsets of R. Then f(x) is continuous at a point p in D if the limit of f(x) as x approaches p within D is f(p). The function is said to be continuous is it is continuous at every point in its domain. The domain and codomain of f can be extended to multiple dimensions provided a suitable metric (eg Pythagorean distance) is used.
What name is given to the turning point also known as the maximum or minimum of the graph of a quadratic function?
vertex
What is the definition of continuity of the function and how do you determine a function is continuous?
There are several different ways of defining continuity. The following is based on work done by Bolzano and Weierstrass.A function f(x), of a variable x is continuous at the point c if, given any positive number e, however small, it is possible to find d such thatf(c) - e < f(c) < f(c) + efor ALL x in c - d < x < c + d.In simpler terms, it is possible to find an interval around x such that for ALL values of x' in that interval, the value of the function, f(x'), is close to f(x).Determining continuity visually, it is easy: if the function can be drawn without lifting your pencil, then it is continuous and if you cannot, it is not.
What is contunity in differential calculus?
A function is continuous (has continuity) when it can be drawn in one motion without lifting the pencil. This means no holes, steps, or jumps. At a point, the limit of the point must be defined and exist at the same point (no holes or points above/below the line). At an endpoint, a function is continuous if the limit coming from the left/right is the same as the x value of the endpoint.
How can you find the point at which the function is continuous?
Using calculus to see if the function f(x) is continuous at a point (point c) involves three steps. These three conditions must be met: 1. f(c) exists, is defined 2. lim f(x) exists x-->c 3. f(c)= lim f(x) x-->c
