Recall the graph of the parent function y=x^3 and the slope sequence of "1,7".

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When graphing y=x^3 the change/difference in the is "1,7".

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Why does the graph of \sqrt[3]{x} have negative y-values instead of imaginary like \sqrt{x}?

The cube root of negative numbers are imaginary.

The cube root of negative numbers are negative.

The cube root of positive numbers are negative.

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Notice how there are arrows on both ends of the curve.
What do you think the domain is?

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Notice how there are arrows on both ends of the curve.
What do you think the range is?

The domain and range will ALWAYS be the same for every cube root function, because the graph will always go on forever in both directions.

The same transformation rules apply for cube root functions:

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Identify the center point in the graph (x,y).

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Write the equation for the graph.

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Write the equation for the graph.

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Select the correct graph for the equation.

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Select the correct graph for the equation.

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Select the correct graph for the equation.

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Type the center point (x,y) in the answer box. Then graph the function.
Plot at least 3 clear points and connect them with the cubic curve.

1

Type the center point (x,y) in the answer box. Then graph the function.
Plot at least 3 clear points and connect them with the cubic curve.

1

Type the center point (x,y) in the answer box. Then graph the function.
Plot at least 3 clear points and connect them with the cubic curve.

1

Write the equation for the graph.

1

Write the equation for the graph.

1

Write the equation for the graph.

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What is the domain of the function in the graph?

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What is the range of the function in the graph?

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Cube Root Graphs

The domain and range will ALWAYS be the same for every cube root function, because the graph will always go on forever in both directions.

Cube Root Graphs

Why does the graph of \sqrt[3]{x} have negative y-values instead of imaginary like \sqrt{x}?

Notice how there are arrows on both ends of the curve.
What do you think the domain is?

Notice how there are arrows on both ends of the curve.
What do you think the range is?

The domain and range will ALWAYS be the same for every cube root function, because the graph will always go on forever in both directions.

Identify the center point in the graph (x,y).

Write the equation for the graph.

Write the equation for the graph.

Select the correct graph for the equation.

Select the correct graph for the equation.

Select the correct graph for the equation.

Type the center point (x,y) in the answer box. Then graph the function.
Plot at least 3 clear points and connect them with the cubic curve.

Type the center point (x,y) in the answer box. Then graph the function.
Plot at least 3 clear points and connect them with the cubic curve.

Type the center point (x,y) in the answer box. Then graph the function.
Plot at least 3 clear points and connect them with the cubic curve.

Write the equation for the graph.

Write the equation for the graph.

Write the equation for the graph.

What is the domain of the function in the graph?

What is the range of the function in the graph?

Type the center point (x,y) in the answer box. Then graph the function.
Plot at least 3 clear points and connect them with the cubic curve.

Why does the graph of \sqrt[3]{x} have negative y-values instead of imaginary like \sqrt{x}?

Notice how there are arrows on both ends of the curve.
What do you think the domain is?

Notice how there are arrows on both ends of the curve.
What do you think the range is?

Identify the center point in the graph (x,y).

Write the equation for the graph.

Write the equation for the graph.

Select the correct graph for the equation.

Select the correct graph for the equation.

Select the correct graph for the equation.

Type the center point (x,y) in the answer box. Then graph the function.
Plot at least 3 clear points and connect them with the cubic curve.

Type the center point (x,y) in the answer box. Then graph the function.
Plot at least 3 clear points and connect them with the cubic curve.

Type the center point (x,y) in the answer box. Then graph the function.
Plot at least 3 clear points and connect them with the cubic curve.

Write the equation for the graph.

Write the equation for the graph.

Write the equation for the graph.

What is the domain of the function in the graph?

What is the range of the function in the graph?

Type the center point (x,y) in the answer box. Then graph the function.
Plot at least 3 clear points and connect them with the cubic curve.

Cube Root Graphs

The domain and range will ALWAYS be the same for every cube root function, because the graph will always go on forever in both directions.

Cube Root Graphs

Why does the graph of \sqrt[3]{x} have negative y-values instead of imaginary like \sqrt{x}?

Notice how there are arrows on both ends of the curve.What do you think the domain is?

Notice how there are arrows on both ends of the curve.What do you think the range is?

The domain and range will ALWAYS be the same for every cube root function, because the graph will always go on forever in both directions.

Identify the center point in the graph (x,y).

Write the equation for the graph.

Write the equation for the graph.

Select the correct graph for the equation.

Select the correct graph for the equation.

Select the correct graph for the equation.

Type the center point (x,y) in the answer box. Then graph the function.Plot at least 3 clear points and connect them with the cubic curve.

Type the center point (x,y) in the answer box. Then graph the function.Plot at least 3 clear points and connect them with the cubic curve.

Type the center point (x,y) in the answer box. Then graph the function.Plot at least 3 clear points and connect them with the cubic curve.

Write the equation for the graph.

Write the equation for the graph.

Write the equation for the graph.

What is the domain of the function in the graph?

What is the range of the function in the graph?

Type the center point (x,y) in the answer box. Then graph the function.Plot at least 3 clear points and connect them with the cubic curve.

Why does the graph of \sqrt[3]{x} have negative y-values instead of imaginary like \sqrt{x}?

Notice how there are arrows on both ends of the curve.What do you think the domain is?

Notice how there are arrows on both ends of the curve.What do you think the range is?

Identify the center point in the graph (x,y).

Write the equation for the graph.

Write the equation for the graph.

Select the correct graph for the equation.

Select the correct graph for the equation.

Select the correct graph for the equation.

Type the center point (x,y) in the answer box. Then graph the function.Plot at least 3 clear points and connect them with the cubic curve.

Type the center point (x,y) in the answer box. Then graph the function.Plot at least 3 clear points and connect them with the cubic curve.

Type the center point (x,y) in the answer box. Then graph the function.Plot at least 3 clear points and connect them with the cubic curve.

Write the equation for the graph.

Write the equation for the graph.

Write the equation for the graph.

What is the domain of the function in the graph?

What is the range of the function in the graph?

Type the center point (x,y) in the answer box. Then graph the function.Plot at least 3 clear points and connect them with the cubic curve.

Notice how there are arrows on both ends of the curve.
What do you think the domain is?

Notice how there are arrows on both ends of the curve.
What do you think the range is?

Type the center point (x,y) in the answer box. Then graph the function.
Plot at least 3 clear points and connect them with the cubic curve.

Type the center point (x,y) in the answer box. Then graph the function.
Plot at least 3 clear points and connect them with the cubic curve.

Type the center point (x,y) in the answer box. Then graph the function.
Plot at least 3 clear points and connect them with the cubic curve.

Type the center point (x,y) in the answer box. Then graph the function.
Plot at least 3 clear points and connect them with the cubic curve.

Notice how there are arrows on both ends of the curve.
What do you think the domain is?

Notice how there are arrows on both ends of the curve.
What do you think the range is?

Type the center point (x,y) in the answer box. Then graph the function.
Plot at least 3 clear points and connect them with the cubic curve.

Type the center point (x,y) in the answer box. Then graph the function.
Plot at least 3 clear points and connect them with the cubic curve.

Type the center point (x,y) in the answer box. Then graph the function.
Plot at least 3 clear points and connect them with the cubic curve.

Type the center point (x,y) in the answer box. Then graph the function.
Plot at least 3 clear points and connect them with the cubic curve.