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Which types of parent function have the end behavior f(x) - infinity as x - infinity

A. a parent even-degree power function
B. a parent odd-degree power function
C. a parent even-degree root function
D. a parent odd-degree root function
E. a parent exponential function with a base greater than 1
F. a parent exponential function with a base between 0 and 1
G. a parent logarithmic function with a base greater than 1
H. a parent logarithmic function with a base between 0 and 1

Respuesta :

Answer:

B. a parent odd-degree power function

and

D. a parent odd-degree root function

MrRoyal

The parent function is simply the base function of a function family.

The true statements are:

  • B. a parent odd-degree power function
  • D. a parent odd-degree root function

The end behavior is given as:

[tex]\mathbf{f(x) \to \infty, x \to \infty}[/tex]

The above means that:

As x approaches infinity, the function also approaches infinity

From the list of given options, the functions with these end behaviors are:

(b) and (d)

Hence, the functions with the end behavior [tex]\mathbf{f(x) \to \infty, x \to \infty}[/tex] are:

A odd-degree power function  and a odd-degree root function

Read more about end behaviors at:

https://brainly.com/question/22723521

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