M2T2 Lesson 1-3 Review

Front

What is a cubic function?

Back

Front

What does the leading coefficient of a polynomial indicate?

Back

The leading coefficient of a polynomial indicates the direction of the graph as x approaches positive or negative infinity. If it is positive, the graph rises to the right; if negative, it falls to the right.

Front

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

Back

Front

What is the general form of a cubic function?

Back

Front

What does it mean if a cubic function has a negative leading coefficient?

Back

If a cubic function has a negative leading coefficient, the ends of the graph will point in opposite directions: the left end will rise and the right end will fall.

Front

What is the significance of the roots of a cubic function?

Back

Front

How can you determine the number of real roots of a cubic function?

Back

You can determine the number of real roots of a cubic function by analyzing its graph or using the discriminant of the derivative to find critical points.

Front

What is the vertex of a cubic function?

Back

The vertex of a cubic function is a point where the function changes direction, typically found by calculating the first derivative and setting it to zero.

Front

What is the relationship between the degree of a polynomial and the number of roots?

Back

The degree of a polynomial indicates the maximum number of roots it can have. A cubic function (degree 3) can have up to 3 real roots.

Front

What is the standard form of a cubic function?

Back