Which of these best describes a function?

Which of the following statements best describes the concept of a function ?

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Occupation specific capability sets describe specialised capabilities for professional, technical or trade-related roles. These can be used to complement the Capability Framework where roles require specialised capabilities. A section of a page that consists of a composition that forms an independent part of a document, page, or site.An article is not a navigational , but may be nested to form a discussion where assistive technologies could pay attention to article nesting to assist the user in following the discussion. An article could be a forum post, a magazine or newspaper article, a web log entry, a user-submitted comment, or any other independent item of content. It is independent in that its contents could stand alone, for example in syndication. However, the is still associated with its ancestors; for instance, contact information that applies to a parent body element still covers the article as well. When nesting articles, the child articles represent content that is related to the content of the parent article. For instance, a web log entry on a site that accepts user-submitted comments could represent the comments as articles nested within the article for the web log entry. Author, heading, date, or other information associated with an article does not apply to nested articles.When the user navigates to an element assigned the role of article, that typically intercept standard keyboard events SHOULD switch to document browsing mode, as opposed to passing keyboard events through to the web application. Assistive technologies MAY provide a feature allowing the user to navigate the hierarchy of any nested article elements. What is the best describe of function?
Which of the following best describes the function of a class?
Which of the following describes one to one function?
Which describes the domain of function?

For a given input value, there is, at most, one output value.

For given output value, there is, at most, one input value

For given input value, there may be more than one output value.

There is no relationship between the input and output values.

Which of the following best describes the function of the second sentence (“A Dream . . . essayists”) in the context of the passage as a whole?I enjoyed A Dream of Light & Shadow: Portraits of Latin American Women Writers for the same reasons that, as a child, I avidly consumed women’s biographies: the fascination with how the biographical details of another female’s life are represented and line interpreted. 5 A Dream offers a rich read, varied in both the lives and texts of the women portrayed, and the perspectives and styles of the sixteen essayists. Yet, as an adult, I have come to demand of any really “great” book a self-consciousness about the tenuous nature of representations of reality, a critical contextualization of florid detail, and a self-awareness of the role of ideology in our lives. In these critical senses, A Dream is 10 inadequate.To give examples of how A Dream presents fascinating portraits that display awareness of the tenuous nature of representations of reality, To elaborate on how A Dream fulfills the author’s childhood criteria for a pleasurable book, To suggest that the author enjoyed A Dream for reasons more sophisticated than the reasons she enjoyed certain books as a child, To illustrate ways in which the author finds A Dream to be inadequate in certain critical senses, To imply that A Dream is too varied in focus to provide a proper contextualization of the biographical details it offers

You must analyze and graph or sketch this function to answer. This function has 3 roots, at x= 1, -3, and +3. This can be found by factoring first by (x-1) using synthetic division, resulting in a remainder of x^2-9, so it factors to:

(x-1)(x+3)(x-3)

This means there are multiple values of x for a given y, for a portion of the curve, so it is definitely not a one to one function. It actually passes the vertical line test, but not the horizontal line test, so the best answer is that it is a many to one function.

- Ben

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Michael M. answered • 05/14/15

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Hello Kim,

Answers A and D are redundant in that if the equation had failed the vertical line test then it would not have been a function either. So the only remaining answers are one to one function or many to one function. A many to one function has one or more peak(s) and/or valley(s).

The function provided is a polynomial and has a peak and a valley. There are a few ways to show this: Plug in x=-10, -5, 0, 5, 10, etc and compare ups and downs in the evaluations; Take the derivative and see that it is sometimes negative and sometimes positive; or Show that it has multiple roots as Ben did. If a function has multiple roots then there must be a peak or valley between each. Likewise, if the derivative shifts from negative to positive or vice versa then there's an up-slope and down-slope with a peak of valley between them.

Behavioural indicators illustrate the degree of knowledge, skill and ability required for effective performance at each level These indicators are not an exhaustive list, nor is every indicator necessarily relevant to every role.

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

Which of the following best describes the function of a class?

Expert-Verified Answer The instance of an object best defines the class. The class is a Blueprint of the object that describes all data and functions that are given by the object of the specific class.

Which of the following describes one to one function?

One to one function or one to one mapping states that each element of one set, say Set (A) is mapped with a unique element of another set, say, Set (B), where A and B are two different sets. It is also written as 1-1. In terms of function, it is stated as if f(x) = f(y) implies x = y, then f is one to one.

Which describes the domain of function?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes.