Cube Root Function Concepts

The video tutorial explains how to graph cube root functions, focusing on shifts, stretches, and plotting techniques. It covers the domain of cube root functions, setting up a table for plotting, and recognizing patterns in the graph. The tutorial concludes with a quick sketch method for efficient graphing.

What is the effect of the H value in the cube root function graph?

• It shifts the graph up or down.

• It stretches the graph vertically.

• It shifts the graph left or right.

• It flips the graph horizontally.

How does a positive coefficient in front of the cube root function affect the graph?

• It compresses the graph horizontally.

• It shifts the graph downward.

• It results in a vertical stretch.

• It causes the graph to flip.

What is the domain of a cube root function?

• Only positive real numbers

• Only negative real numbers

• All real numbers

• Only integers

When setting up the table for graphing, where should H and K be placed?

• At the top of the table

• At the bottom of the table

• In the middle of the table

• Outside the table

What pattern is used to plot additional points on the cube root graph?

• Add 1 to the right, subtract 1 to the left

• Add 4 to the right, subtract 4 to the left

• Add 2 to the right, subtract 2 to the left

• Add 3 to the right, subtract 3 to the left

What is the next logical step after plotting the initial points on the cube root graph?

• Find the y-intercept

• Draw the curve through the points

• Calculate the slope

• Determine the x-intercept

What is the quick method for sketching cube root graphs without a table?

• Use only the H value

• Use only the K value

• Use the A value to determine the stretch

• Use the domain to plot points

How does the graph behave if the A value is negative?

• It shifts upward

• It flips vertically

• It stretches horizontally

• It compresses vertically

What is the significance of the A value in the cube root function?

• It alters the range

• It changes the domain

• It affects the vertical stretch or shrink

• It determines the horizontal shift

What is the final step in graphing a cube root function using the quick method?

• Determine the x-intercept

• Find the y-intercept

• Draw the curve through the plotted points

• Calculate the slope