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Name the parent function:

A. [tex]x^3[/tex]
B. [tex]\sqrt{x}[/tex]
C. [tex]\frac{1}{x}[/tex]
D. [tex]x^2[/tex]
E. [tex]2^x[/tex]
F. [tex]|x|[/tex]

Sagot :

GinnyAnswer
Sure! Let's go through each of the expressions provided to identify their corresponding parent functions.

1. [tex]\(x^3\)[/tex]:
- This is a cubic function. The parent function is simply [tex]\(y = x^3\)[/tex].

2. [tex]\(\sqrt{x}\)[/tex]:
- This is a square root function. The parent function is [tex]\(y = \sqrt{x}\)[/tex].

3. [tex]\(\frac{1}{x}\)[/tex]:
- This is a reciprocal function. The parent function is [tex]\(y = \frac{1}{x}\)[/tex].

4. [tex]\(x^2\)[/tex]:
- This is a quadratic function. The parent function is [tex]\(y = x^2\)[/tex].

5. [tex]\(2^x\)[/tex]:
- This is an exponential function where the base is 2. The parent function is [tex]\(y = 2^x\)[/tex].

6. [tex]\(|x|\)[/tex]:
- This is an absolute value function. The parent function is [tex]\(y = |x|\)[/tex].

By identifying these functions, we know that:
- [tex]\(x^3\)[/tex] corresponds to the parent function [tex]\(y = x^3\)[/tex]
- [tex]\(\sqrt{x}\)[/tex] corresponds to the parent function [tex]\(y = \sqrt{x}\)[/tex]
- [tex]\(\frac{1}{x}\)[/tex] corresponds to the parent function [tex]\(y = \frac{1}{x}\)[/tex]
- [tex]\(x^2\)[/tex] corresponds to the parent function [tex]\(y = x^2\)[/tex]
- [tex]\(2^x\)[/tex] corresponds to the parent function [tex]\(y = 2^x\)[/tex]
- [tex]\(|x|\)[/tex] corresponds to the parent function [tex]\(y = |x|\)[/tex]

These are the parent functions for the given expressions.
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