Graphs of Polynomial Functions – Practice Questions
Practice questions and answers on graphs of polynomial functions are presented below. These questions can be used as a self-test or classroom practice. If needed, you may use free graph paper.
The questions focus on factoring polynomials, finding the zeros of a polynomial, and graphing a polynomial function using sign tables and the leading coefficient rule.
Questions on Graphs of Polynomial Functions (View Answers)
For each question, you are given four graphs. Select the graph that best represents the given polynomial function.
Question 1
Identify the graph of the polynomial function \( f \).
\[ f(x) = x - 1 \]Question 2
Identify the graph of the polynomial function \( f \).
\[ f(x) = x^2 + 2x - 3 \]Question 3
Identify the graph of the polynomial function \( f \).
\[ f(x) = x^2 - 3 \]Question 4
Identify the graph of the polynomial function \( f \).
\[ f(x) = x^3 - 2x^2 - x + 2 \]Question 5
Identify the graph of the polynomial function \( f \).
\[ f(x) = x^3 - x^2 + x - 1 \]Question 6
Identify the graph of the polynomial function \( f \).
\[ f(x) = x^4 + x^3 - x^2 + x - 2 \]Question 7
Identify the graph of the polynomial function \( f \).
\[ f(x) = x^4 - 2x^3 - x^2 + 2x \]Question 8
Identify the graph of the polynomial function \( f \).
\[ f(x) = x^4 + 1 \]Question 9
Identify the graph of the polynomial function \( f \).
\[ f(x) = x^4 - 2 \]Question 10
Identify the graph of the polynomial function \( f \).
\[ f(x) = x^4 + x^3 - 2x^2 \]