Understanding Cubic Functions

Which of the following functions resembles a boomerang?

• Quadratic function

• Linear function

• Cubic function

• Logarithmic function

How can you visually identify a positive cubic function using hand gestures?

• Left hand up, right hand down

• Both hands pointing upwards

• Both hands pointing downwards

• Right hand up, left hand down

What is the visual difference between a positive and a negative cubic function?

• Positive is a curve, negative is a straight line

• Positive has both ends pointing up, negative has both ends pointing down

• Positive has right hand up, left hand down; negative is reversed

• Positive is a straight line, negative is a curve

What happens to the graph of y = x^3 when you add 1 to the function?

• It shifts to the left by one unit

• It shifts to the right by one unit

• It moves down by one unit on the y-axis

• It moves up by one unit on the y-axis

If the function is y = -x^3 + 1, how does the graph change?

• It reflects over the y-axis and shifts down by one unit

• It reflects over the x-axis and shifts up by one unit

• It shifts up by one unit

• It shifts down by one unit