Q3.
Question
OPEN ENDED Sketch the graph of an odd-degree polynomial function with a negative leading coefficient and three real roots.
Step-by-Step Solution
Verified Answer
The graph is:
1Step 1. Given
An odd-degree polynomial function with a negative leading coefficient and three real roots.
2Step 2. To determine
We have to sketch the graph.
3Step 3. Calculation
An odd-degree polynomial functions whose leading coefficient is negative goes down on the right side and up on the left side.
Let the three real roots are
So, the graph is:
Other exercises in this chapter
Q1.
Explain why a constant polynomial such as fx=4 has degree 0 and a linear polynomial such as fx=x+5 has degree 1.
View solution Q2.
Describe the characteristics of the graphs of odd-degree and even-degree polynomial functions whose leading coefficients are positive.
View solution Q4.
Tell whether the following statement is always, sometimes or never true. Explain. A polynomial function that has four real roots is a fourth-degree polynomial.
View solution Q5.
State the degree and leading coefficient of polynomial 5x6-8x2 in one variable. If it is not a polynomial in one variable, explain why.
View solution