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No. For x < 0, it decreases, for x > 0, it increases. In each of these two parts, it is monotic, though.
No. For x < 0, it decreases, for x > 0, it increases. In each of these two parts, it is monotic, though.
No. For x < 0, it decreases, for x > 0, it increases. In each of these two parts, it is monotic, though.
No. For x < 0, it decreases, for x > 0, it increases. In each of these two parts, it is monotic, though.
What else can I help you with?
What is a type of function whose graph is a nonvertical line?
A monotonic, or one-to-one function.
What is the inverse function of xx?
XX or X*X, can be written as X squared. The inverse of a function "sort of cancels it out". I know the inverse of a square is the square root. Since we need the inverse of X squared, it's inverse is the square root of X. sqrt(x)
Why does symmetry occur in quadratic function?
That's related to the fact that, for example, x squared is the same as (-x) squared. Note that any equation of the form "x squared + bx + c = 0", with constants a, b, and c can be rewritten as "(x - d) squared + f = 0", for possibly different constants d and f.
What is x squared multiplied by x squared?
(X2) (X2) = X4 x squared multiplied by x squared is x raised to the 4th power.
What is sin squared x minus cos squared x?
Sin squared, cos squared...you removed the x in the equation.
Why is x squared a inverse function?
X squared is not an inverse function; it is a quadratic function.
Is a monotonic function a bijection?
No. For example, y = 7 is monotonic. It may be a degenerate case, but that does not disallow it. It is not a bijection unless the domain and range are sets with cardinality 1. Even a function that is strictly monotonic need not be a bijection. For example, y = sqrt(x) is strictly monotonic [increasing] for all non-negative x. But it is not a bijection from the set of real numbers to the set of real numbers because it is not defined for negative x.
Are monotonic relationships positive or negative?
They can be either, but not together. y = x and y = -x are both monotonic.
How does a monotonic transformation affect the shape of a function's graph?
A monotonic transformation does not change the overall shape of a function's graph, but it can stretch or compress the graph horizontally or vertically.
Why does a square root have two answer?
Answer: As for example the square root of 16 is -4 or +4 because -4 times -4 = 16 and 4 times 4 = 16 Answer: There are two "answers", because there are two numbers which, when squared, give you a specified number. The reason for this is that the square function is not monotonic - this results in complications when determining the inverse function. For more details, read about "monotonic function", for example in the Wikipedia.
What is a monotonic transformation and how does it impact the relationship between variables in a mathematical function?
A monotonic transformation is a mathematical function that preserves the order of values in a dataset. It does not change the relationship between variables in a mathematical function, but it can change the scale or shape of the function.
What is a type of function whose graph is a nonvertical line?
A monotonic, or one-to-one function.
How do monotonic transformations affect the relationship between variables in a mathematical function?
Monotonic transformations do not change the relationship between variables in a mathematical function. They only change the scale or shape of the function without altering the overall pattern of the relationship.
What is sine squared?
Answer 1 Put simply, sine squared is sinX x sinX. However, sine is a function, so the real question must be 'what is sinx squared' or 'what is sin squared x': 'Sin(x) squared' would be sin(x^2), i.e. the 'x' is squared before performing the function sin. 'Sin squared x' would be sin^2(x) i.e. sin squared times sin squared: sin(x) x sin(x). This can also be written as (sinx)^2 but means exactly the same. Answer 2 Sine squared is sin^2(x). If the power was placed like this sin(x)^2, then the X is what is being squared. If it's sin^2(x) it's telling you they want sin(x) times sin(x).
Is a strictly monotonic function absolutely continuous?
No, they can only be jump continuous.
What is the inverse function of xx?
XX or X*X, can be written as X squared. The inverse of a function "sort of cancels it out". I know the inverse of a square is the square root. Since we need the inverse of X squared, it's inverse is the square root of X. sqrt(x)
How does a monotonic transformation affect a utility function?
A monotonic transformation does not change the preferences represented by a utility function. It only changes the scale or units of measurement of the utility values, but the ranking of preferences remains the same.
