Asked by: Sofio Berwagner
science space and astronomy

What is a function family in algebra?

Last Updated: 4th February, 2020

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A family of functions is a set of functions whose equations have a similar form. The “parent” of the family is the equation in the family with the simplest form. For example, y = x2 is a parent to other functions, such as y = 2x2 - 5x + 3.

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In this way, what are the 4 functions of a family?

There are four functions of family. These four functions include regulation of sexual activity, socialization, reproduction, and economic and emotional security.

Additionally, what is a function in algebra? A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a specified type. It is common to name a function either f(x) or g(x) instead of y. f(2) means that we should find the value of our function when x equals 2.

One may also ask, what are the 6 functions of the family?

  • Addition of New Members. • Families have children through birth, adoption, and may also use the help of fertility clinics, etc.
  • Physical Care of Members. •
  • Socialization of Children. •
  • Social Control of Members. •
  • Affective Nurturance- Maintaining Morale of Members. •
  • Producing and Consuming Goods and Services. •

How do you graph a function?

Consider the function f(x) = 2 x + 1. We recognize the equation y = 2 x + 1 as the Slope-Intercept form of the equation of a line with slope 2 and y-intercept (0,1). Think of a point moving on the graph of f. As the point moves toward the right it rises.

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What is a parent function in math?

In mathematics, a parent function is the simplest function of a family of functions that preserves the definition (or shape) of the entire family. For example, for the family of quadratic functions having the general form. the simplest function is.

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How do you find the domain of a function?

For this type of function, the domain is all real numbers. A function with a fraction with a variable in the denominator. To find the domain of this type of function, set the bottom equal to zero and exclude the x value you find when you solve the equation. A function with a variable inside a radical sign.

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What is the shape of a function?

If it is increasing then the graph is concave up. If the slope is decreasing the graph is concave down. Just as there can be points at which a function is neither increasing nor decreasing, there can be points at which a function is neither concave up nor concave down.

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How do you identify the domain and range of a function?

To find the excluded value in the domain of the function, equate the denominator to zero and solve for x . So, the domain of the function is set of real numbers except −3 . The range of the function is same as the domain of the inverse function. So, to find the range define the inverse of the function.

Rauf Fuchsloch

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What is the simplest of functions in a family?

A parent function is the simplest function of a family of functions. of this form is y = x2. This graph is known as the "Parent Function" for parabolas, or quadratic functions. All other parabolas, or quadratic functions, can be obtained from this graph by one or more transformations.

Ayan Rudd

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What is a family of graphs?

A family of graphs is a group of graphs that displays one or more similar characteristics. A parent graph is a basic graph that is transformed to create other members in a family of graphs.

Anali Lavena

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Why is family so important?

Family is the single most important influence in a child's life. From their first moments of life, children depend on parents and family to protect them and provide for their needs. Every parent knows that it's sometimes difficult to do this important work without help, support, and additional resources.

Lera Talesnick

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What makes up a family?

Types of families
A nuclear family is made up of parents and one or more children living together. A single-parent family is one where there is one parent and one or more children. An extended family or joint families means father, mother, daughters, sons, grandparents, uncles, aunts, cousins, nieces and nephews.

Benedicto Brummer

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What is the most important function of a family?

Family provides the legitimate basis for production of children. It institutionalizes the process of procreation. By performing this function of procreation family contributes to the continuity of family and ultimately human race. Hence perpetuation of human race or society is the most important function of family.

Anastassia Willers

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What is the nature of family?

It was a commonplace of the Western tradition to speak of the “nature” of marriage and the family—its natural form and function, its natural goods and goals, its natural rights and duties that attach to husband and wife, and parent and child.

Aurelija Stoeve

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What is the role of a family?

The primary function of the family is to ensure the continuation of society, both biologically through procreation, and socially through socialization. Given these functions, the nature of one's role in the family changes over time.

Khatia Oneil

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What is the function of a family?

The family performs several essential functions for society. It socializes children, it provides emotional and practical support for its members, it helps regulate sexual activity and sexual reproduction, and it provides its members with a social identity.

Isak Galena

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What are the 7 types of families?

  • Nuclear Family. The nuclear family is the traditional type of family structure.
  • Single Parent Family. The single parent family consists of one parent raising one or more children on his own.
  • Extended Family.
  • Childless Family.
  • Step Family.
  • Grandparent Family.

Mansor Arends

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What are the characteristics of nuclear family?

Characteristics of a Nuclear Family
Nuclear families consist of parents and a child or children all living together. Ideally within a nuclear family there are shared values, responsibilities, unconditional love, healthy attachment patterns, and an environment that supports growth and learning.

Racquel Galvez

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What is family institution?

Meaning of Family
Family is the basic social institutions from which other social institutions have grown and developed. In producers, slaves and other servants as well as for the members connected by a common descent or blood relation. The word “Family” has derived from a Roman word “Famulus” which means servants.

Atilio Beiersdorf

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What are the dynamics of a family?

Family dynamics include family alignments, hierarchies, roles, ascribed characteristics and patterns of interactions within a family. Where possible, use a strengths-based approach when exploring family dynamics, and identify strengths or ways a pattern serves those involved.

Madou Wyssmann

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What are the five family functions?

5 most primary functions of a family
  • (1) Stable Satisfaction of Sex need:
  • (2) Reproduction or procreation:
  • (3) Protection and care of the young:
  • (4) Socializing Functions:
  • (5) Provision of a home:

Aniello Berreteaga

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What is family in social studies?

Families are a group of related people, generally who live together. In almost every human society, the family is the most basic unit of social organization and is based around the traditional role of raising children.

Pasqual Iturriagor

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What roles do father and mother play in a family?

Together they help hand in hand to keep the family, raise the children, teach them values and the culture of which they belong and provide the basic needs like food, shelter and clothing. They also give love to all it's member and promote their welfare. The mother and father are the role model of the children.