Alg 2 Semester1 Review Part 1 2024-25 (rev MCSA)

Front

What is the general form of a cubic function?

Back

Front

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

Back

The number of real roots of a cubic function can be determined by analyzing its graph or using the discriminant of the derivative.

Front

What does the leading coefficient of a polynomial indicate about its end behavior?

Back

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

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola, depending on the direction it opens.

Front

What is the difference between recursive and explicit definitions of a function?

Back

A recursive definition defines a function in terms of its previous values, while an explicit definition provides a direct formula to calculate the function's value.

Front

How do you find the explicit formula from a recursive definition?

Back

To find the explicit formula, identify the pattern in the recursive values and express it in a formula that relates the input directly to the output.

Front

What is a polynomial function?

Back

Front

What is the role of the degree of a polynomial?

Back

The degree of a polynomial indicates the highest power of the variable and determines the polynomial's end behavior and the maximum number of roots.

Front

What is the formula for the sum of a geometric series?

Back

Front

How do you model a situation with a linear equation?

Back