Even and Odd Functions Review

Front

What is an even function?

Back

A function f(x) is called an even function if for every x in the domain, f(-x) = f(x). This means the graph of the function is symmetric with respect to the y-axis.

Front

What is an odd function?

Back

A function f(x) is called an odd function if for every x in the domain, f(-x) = -f(x). This means the graph of the function is symmetric with respect to the origin.

Front

What does it mean if a function is neither even nor odd?

Back

A function is neither even nor odd if it does not satisfy the conditions for being even or odd. This means that the function does not exhibit symmetry with respect to the y-axis or the origin.

Front

How can you determine if a function is even or odd using its graph?

Back

To determine if a function is even, check for y-axis symmetry. To determine if it is odd, check for origin symmetry. If neither symmetry is present, the function is neither even nor odd.

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. It indicates the polynomial's behavior as x approaches infinity.

Front

What is a binomial?

Back

A binomial is a polynomial that consists of exactly two terms. For example, x^2 + 6 is a binomial.

Front

What is a trinomial?

Back

A trinomial is a polynomial that consists of exactly three terms. For example, x^2 + 2x + 6 is a trinomial.

Front

Classify the polynomial f(x) = 4x^2 + 8 by its degree and number of terms.

Back

This polynomial is a quadratic binomial because its degree is 2 and it has two terms.

Front

Classify the polynomial f(x) = x^2 + 2x + 6 by its degree and number of terms.

Back

This polynomial is a quadratic trinomial because its degree is 2 and it has three terms.

Front

What is the significance of the leading coefficient in a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree. It affects the end behavior of the polynomial's graph.