Which of the following does NOT describe a parent function of a family of functions?
A. The parent function is the function with a graph that is different than all the other functions in the family.
B. The graphs of the functions in the family all have the same general shape as the parent function
C. The parent function is the simplest function that still satisfies the criteria to be in the family of functions
D. All of the functions in the family can be derived algebraically from the parent function by adding or subtracting terms or by multiplying by a constant

Question

13-12-2020
Mathematics

contestada

Which of the following does NOT describe a parent function of a family of functions?
A. The parent function is the function with a graph that is different than all the other functions in the family.
B. The graphs of the functions in the family all have the same general shape as the parent function
C. The parent function is the simplest function that still satisfies the criteria to be in the family of functions
D. All of the functions in the family can be derived algebraically from the parent function by adding or subtracting terms or by multiplying by a constant

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AFOKE88 AFOKE88 · Answer 1 · 2020-12-18T03:10:30+01:00

Answer:

A. The parent function is the function with a graph that is different than all the other functions in the family.

Step-by-step explanation:

A parent function is simply a function that represents the simplest form of a family of functions.

Now, a family of functions is defined as a group of functions that share the same highest degree and therefore the same shape for their graphs.

Looking at the options, the only one that doesn't correspond to the definition of parent function with respect to family of functions is option A because it suggests that the parent function is different from the family functions. Thus, option A doesn't describe a parent function.