Unit 2 Flashcard 2 Review

Front

What is a zero of a function?

Back

A zero of a function is a value of x for which the function f(x) = 0. It represents the x-intercepts of the graph of the function.

Front

How do you determine the number of zeros a polynomial function has?

Back

The number of zeros of a polynomial function can be determined by its degree. A polynomial of degree n can have up to n real zeros.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial expression.

Front

What is a leading coefficient?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

Front

What is the general form of a cubic function?

Back

A cubic function can be expressed in the form f(x) = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants and a ≠ 0.

Front

What does it mean for a function to have a relative minimum?

Back

A relative minimum is a point on the graph of a function where the function value is lower than the values of the function at nearby points.

Front

What is the significance of the domain in a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the volume of a box in terms of its depth x?

Back

The volume V of a box can be expressed as a polynomial function of its depth x, such as V(x) = 4x^3 - 56x^2 + 180x.

Front

What is the relationship between the degree of a polynomial and its graph?

Back

The degree of a polynomial affects the shape and number of turns in its graph. Higher degree polynomials can have more complex shapes.

Front

How can you identify a cubic function from its equation?

Back

A cubic function can be identified by the presence of the x^3 term and having a degree of 3.