Cubic graphs

Front

What is a cubic function?

Back

Front

What is the parent function of cubic graphs?

Back

Front

What is the general shape of a cubic graph?

Back

Cubic graphs can have one or two turning points and can extend to positive and negative infinity in both directions.

Front

How do you identify the x-intercepts of a cubic function?

Back

Front

What is the significance of the leading coefficient in a cubic function?

Back

The leading coefficient determines the end behavior of the cubic graph: if positive, the graph rises to the right; if negative, it falls to the right.

Front

What is the range of a cubic function?

Back

Front

How do you find the y-intercept of a cubic function?

Back

Front

What does it mean for a cubic function to have a double root?

Back

A double root means that the function touches the x-axis at that root but does not cross it, indicating a local maximum or minimum.

Front

What is the difference between a cubic function and a quadratic function?

Back

A cubic function has a degree of three and can have up to three real roots, while a quadratic function has a degree of two and can have up to two real roots.

Front

How can you determine the turning points of a cubic function?

Back

Turning points can be found by taking the derivative of the function, setting it to zero, and solving for x.