Answer:
here may be more than one correct answer.
Cubic, f(x)=x^3
Quadratic, f(x)=x^2
Square root, f(x)=√x
Constant, f(x)=c
Linear, f(x)=x
Step-by-step explanation:
The domain of the square root parent function is x ≥ 0 as the square root of only non-negative values exists and that of negative values does not exist, while the domain of the cube root parent function is the set of all real numbers as the cube root of all numbers exists.
A function is a relation between a dependent variable f(x) and an independent variable x, where for every value of x in its domain, there is one and only one value of f(x).
The domain of a function is the set of values of x, for which f(x) exists.
The range of a function is the set of values of f(x), in a given domain of x.
We are asked why is the domain of the square root parent function x ≥ 0 and the domain of the cube root parent function all real numbers.
We know that the domain of a function is the set of values of x, for which f(x) exists.
Let the square root parent function be f(x) = √x.
The domain of this function is x ≥ 0, as the square root of negative values does not exist in the real number system.
Let the cube root parent function be g(x) = ∛x.
The domain of this function is all real numbers, as the cube root of all values does exist in the real number system.
∴ The domain of the square root parent function is x ≥ 0 as the square root of only non-negative values exists and that of negative values does not exist, while the domain of the cube root parent function is the set of all real numbers as the cube root of all numbers exists.
Learn more about the domain and range of a function at
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