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Q: Which is a possible turning point for the continuous function f(x) (3 4) (2 1) (0 5) (1 8)?

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All differentiable functions need be continuous at least.

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.

The answer depends on the form in which the quadratic function is given. If it is y = ax2 + bx + c then the x-coordinate of the turning point is -b/(2a)

It is a turning point. It lies on the axis of symmetry.

vertex

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.

No.. It is not possible at any point

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.

If the point mutation does not change the protein to be translated in the 3-letter sequence, then it will have no effect on the gene's function.

If the point mutation does not change the protein to be translated in the 3-letter sequence, then it will have no effect on the gene's function.

A possible turning point would be that event that happens when the superhero begins to get the ultimate victory. Perhaps he feels that he is too weak and that all is lost. Then something happens that causes him to regather his courage and strength, and he gains the victory. That "something" is the turning point.

The Battle of Stalngrad ! Stalingrad was the turning point on the Eastern Front. El Alamein was the turning point in Africa. Midway was the turning point in the Pacific, and Normandy was the turning point on the Western Front.

What was Saratoga the turning point of the war

The Second Battle of El Alamein in Egypt. Stalingrad was the turning point on the Eastern Front. El Alamein was the turning point in Africa. Midway was the turning point in the Pacific, and Normandy was the turning point on the Western Front.

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.

The Battle of Yorktown was not the turning point of the Revolutionary War. The Battle of Saratoga was the turning point of the war.

It wasn't a turning point, it was the liberation of Western Europe. The turning point in Europe in WWII was the Battle Of Stalingrad.

The integral of the density function from the given point upwards.

Gettysburg was considered to be the turning point.

yes it was a turning point in the rovouloutinary war

Turning Point - institute - was created in 1986.

The Battle of Saratoga was the turning point of the north.

It wasn't a major turning point. The turning points in World War II were the battle of Stalingrad and the battle of Midway. Stalingrad was the turning point for the war in Europe. Midway was the turning point for the Pacific Theater. (Japan)

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).

Some do and some don't. It's possible but not necessary.