Identify the parent function: $$f(x)=\text{sqrt}{x}$$ , $$f(x)=\text{sqrt[3]}{x}$$ , $$f(x)=x^3$$ .

The parent function is $$f(x)=\text{sqrt}{x}$$ .

Identify the parent function: $$f(x)=\text{sqrt[3]}{x}$$ , $$f(x)=\text{sqrt}{x}$$ , $$f(x)=x^3$$ .

The parent function is $$f(x)=x^3$$ .

What is the general shape of the graph of the cubed root function?

The graph of the cubed root function is a curve that passes through the origin and extends into all four quadrants.

What is the domain of the square root function?

The domain of the square root function is all non-negative real numbers, i.e., $$[0, \text{∞})$$ .

What is the domain of the cubic function?

The domain of the cubic function is all real numbers, i.e., $$(-\text{∞}, \text{∞})$$ .

What is the domain of the cubed root function?

The domain of the cubed root function is all real numbers, i.e., $$(-\text{∞}, \text{∞})$$ .

What is the range of the square root function?

The range of the square root function is all non-negative real numbers, i.e., $$[0, \text{∞})$$ .

What is the range of the cubic function?

The range of the cubic function is all real numbers, i.e., $$(-\text{∞}, \text{∞})$$ .

What is the range of the cubed root function?

The range of the cubed root function is all real numbers, i.e., $$(-\text{∞}, \text{∞})$$ .

How does the graph of the square root function behave as x increases?

As x increases, the value of the square root function increases, but at a decreasing rate.

How does the graph of the cubic function behave as x increases?

As x increases, the value of the cubic function increases rapidly, and as x decreases, it decreases rapidly.

Parent Functions Sq Rt, Cubic and Cubed Root Equations Flashcards

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16 questions

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1.

FLASHCARD QUESTION

Front

What is the parent function for square root?

Back

2.

FLASHCARD QUESTION

Front

What is the parent function for cubic equations?

Back

3.

FLASHCARD QUESTION

Front

What is the parent function for cubed root?

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the general shape of the graph of the square root function?

Back

The graph of the square root function is a curve that starts at the origin (0,0) and increases gradually.

7.

FLASHCARD QUESTION

Front

What is the general shape of the graph of the cubic function?

Back

The graph of the cubic function has an S-shape, passing through the origin and extending to both positive and negative infinity.

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