0
What else can I help you with?
Define monotonic preferences?
Your preferences are said to be monotonic if more is preferred to less
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.
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.
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 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.
Define monotonic preferences?
Your preferences are said to be monotonic if more is preferred to less
Why curve is convex in monotonic preference?
In monotonic preferences, individuals consistently prefer more of a good to less of it. A convex curve indicates diminishing marginal utility, where each additional unit of the good provides less satisfaction. This reflects that as individuals have more of the good, the increase in satisfaction from each additional unit decreases.
Are monotonic relationships positive or negative?
They can be either, but not together. y = x and y = -x are both monotonic.
Monotonic transformation of utility function?
A monotonic transformation of a utility function preserves the preference ordering of alternatives while changing the numerical values of the utility. It involves multiplying or adding a constant to the original utility function without altering the relative ranking of choices. This transformation does not affect decision-making outcomes but can simplify calculations and analysis.
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.
What are some adjectives for the math term function?
Here are some: odd, even; periodic, aperiodic; algebraic, rational, trigonometric, exponential, logarithmic, inverse; monotonic, monotonic increasing, monotonic decreasing, real, complex; discontinuous, discrete, continuous, differentiable; circular, hyperbolic; invertible.
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.
How are linear and exponential functions alike?
They have infinite domains and are monotonic.
Is a strictly monotonic function absolutely continuous?
No, they can only be jump continuous.
Why argon exists as a monotonic atom?
Argon is nonreactive, including with itself.
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.
Which series is arranged in order from smallest to largest in size?
A monotonic increasing series.
