Parent Functions Flashcards
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Questions and Answers

Define the Linear Parent Function.

f(x)=x

Define the Quadratic Parent Function.

f(x)=x^2

Define the Cubic Parent Function.

f(x)=x^3

Define the Cube Root Parent Function.

<p>f(x)=∛x</p> Signup and view all the answers

Define the Rational Parent Function.

<p>f(x)=1/x</p> Signup and view all the answers

Define the Irrational/Square Root Parent Function.

<p>f(x)=√x</p> Signup and view all the answers

Define the Absolute Value Parent Function.

<p>f(x)=|x|</p> Signup and view all the answers

Define the Exponential Parent Function.

<p>f(x)=a^x</p> Signup and view all the answers

Define the Logarithmic Parent Function.

<p>f(x)=log_a(x)</p> Signup and view all the answers

The domain and range of the Linear Parent Function are _____ and _____ respectively.

<p>(-∞,∞) and (-∞,∞)</p> Signup and view all the answers

The domain for the Quadratic Parent Function is _____ and the range is _____.

<p>(-∞,∞) and [0,∞)</p> Signup and view all the answers

The domain and range of the Cubic Parent Function are _____ and _____ respectively.

<p>(-∞,∞) and (-∞,∞)</p> Signup and view all the answers

The domain for the Cube Root Parent Function is _____ and the range is _____.

<p>(-∞,∞) and (-∞,∞)</p> Signup and view all the answers

The domain for the Rational Parent Function is _____ and the range is _____.

<p>(-∞,0) (0,∞) and (-∞,0) (0,∞)</p> Signup and view all the answers

The domain for the Irrational/Square Root Parent Function is _____ and the range is _____.

<p>[0,∞) and [0,∞)</p> Signup and view all the answers

The domain for the Absolute Value Parent Function is _____ and the range is _____.

<p>(-∞,∞) and [0,∞)</p> Signup and view all the answers

The domain for the Exponential Parent Function is _____ and the range is _____.

<p>(-∞,∞) and (0,∞)</p> Signup and view all the answers

The domain for the Logarithmic Parent Function is _____ and the range is _____.

<p>(0,∞) and (-∞,∞)</p> Signup and view all the answers

Study Notes

Functiones Parent

  • Functiones parent es categorias fundamental de functiones mathematic que serve como base pro altere functiones.

Function Linear Parent

  • Equatio: f(x) = x
  • Dominio: (-∞, ∞)
  • Range: (-∞, ∞)

Function Quadratic Parent

  • Equatio: f(x) = x²
  • Dominio: (-∞, ∞)
  • Range: [0, ∞)

Function Cubic Parent

  • Equatio: f(x) = x³
  • Dominio: (-∞, ∞)
  • Range: (-∞, ∞)

Function Cube Root Parent

  • Equatio: f(x) = ∛x
  • Dominio: (-∞, ∞)
  • Range: (-∞, ∞)

Function Rational Parent

  • Equatio: f(x) = 1/x
  • Dominio: (-∞, 0) ∪ (0, ∞)
  • Range: (-∞, 0) ∪ (0, ∞)

Function Irrational/Square Root Parent

  • Equatio: f(x) = √x
  • Dominio: [0, ∞)
  • Range: [0, ∞)

Function Absolute Value Parent

  • Equatio: f(x) = |x|
  • Dominio: (-∞, ∞)
  • Range: [0, ∞)

Function Exponential Parent

  • Equatio: f(x) = e^x (pro exemplo)
  • Dominio: (-∞, ∞)
  • Range: (0, ∞)

Function Logarithmic Parent

  • Equatio: f(x) = log(x)
  • Dominio: (0, ∞)
  • Range: (-∞, ∞)

Recapitulatio de Dominio e Range

  • Functiones linear, cubic, e cube root habet dominio e range(-∞, ∞).
  • Functiones quadratic, absolute value, e square root habet dominio non negative e ranges specific.
  • Function rational ha exclusion de zero in dominio e range, pro non have valor pro zero.
  • Function exponential cresce rapidemente e resulta positiv pro omni valori de x, dum function logarithmic ha dominio in valori positiv.

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Description

Este quiz consiste de flashcards que examina differente funciones parent. Inclue funciones lineares, quadratica, cubic, e plure altere. Perfecte pro estudiantes qui vole preparar pro examenes in algebra.

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