Polynomial Functions

Polynomial Functions

Assessment

Flashcard

Mathematics

11th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

Student preview

quiz-placeholder

14 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a polynomial function?

Back

A polynomial function is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients. The general form is: $$f(x) = a_n x^n + a_{n-1} x^{n-1} + ... + a_1 x + a_0$$ where $$a_n$$ is the leading coefficient and $$n$$ is the degree.

2.

FLASHCARD QUESTION

Front

What is the leading term of a polynomial?

Back

The leading term of a polynomial is the term with the highest degree. It determines the end behavior of the polynomial function.

3.

FLASHCARD QUESTION

Front

How does the leading coefficient affect the graph of a polynomial function?

Back

The leading coefficient determines the direction of the graph as x approaches positive or negative infinity. A positive leading coefficient means the graph rises to the right, while a negative leading coefficient means it falls to the right.

4.

FLASHCARD QUESTION

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial. It indicates the number of roots and the end behavior of the graph.

5.

FLASHCARD QUESTION

Front

What is the end behavior of a polynomial function with an even degree and a positive leading coefficient?

Back

The end behavior will rise on both ends, meaning as $$x \rightarrow \infty$$, $$f(x) \rightarrow \infty$$ and as $$x \rightarrow -\infty$$, $$f(x) \rightarrow \infty$$.

6.

FLASHCARD QUESTION

Front

What is the end behavior of a polynomial function with an odd degree and a positive leading coefficient?

Back

The end behavior will rise to the right and fall to the left, meaning as $$x \rightarrow \infty$$, $$f(x) \rightarrow \infty$$ and as $$x \rightarrow -\infty$$, $$f(x) \rightarrow -\infty$$.

7.

FLASHCARD QUESTION

Front

What is the end behavior of a polynomial function with an even degree and a negative leading coefficient?

Back

The end behavior will fall on both ends, meaning as $$x \rightarrow \infty$$, $$f(x) \rightarrow -\infty$$ and as $$x \rightarrow -\infty$$, $$f(x) \rightarrow -\infty$$.

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?