Understanding Cubic Functions

What is the relationship between zeros and factors in a cubic function?

• Zeros are unrelated to factors.

• Factors are the opposite of zeros.

• Zeros are the same as factors.

• Factors are derived from zeros.

How do you determine the coefficient 'a' in a cubic equation?

• By using any random point on the graph.

• By using a point on the x-axis.

• By guessing its value.

• By using a point not on the x-axis.

What is the effect of the coefficient 'a' on the graph of a cubic function?

• It reflects the graph over the x-axis.

• It rotates the graph.

• It stretches or compresses the graph vertically.

• It shifts the graph horizontally.

After determining 'a', what is the next step in forming the cubic equation?

• Recalculate the x-intercepts.

• Change the zeros.

• Ignore the value of 'a'.

• Substitute 'a' back into the equation.

What is the benefit of leaving the cubic equation in factored form?

• It is more complex.

• It is easier to understand and work with.

• It is less accurate.

• It is harder to graph.