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Chapter 7: Q3. (page 350)

OPEN ENDED Sketch the graph of an odd-degree polynomial function with a negative leading coefficient and three real roots.

Short Answer

Expert verified

The graph is:

Step by step solution

01

Step 1. Given

An odd-degree polynomial function with a negative leading coefficient and three real roots.

02

Step 2. To determine

We have to sketch the graph.

03

Step 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 x=-1,0,1

So, the graph is:

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Most popular questions from this chapter

For each graph,

a. Describe the end behaviour.

b. Determine whether it represents an odd-degree or an even-degree polynomial function, and

c. state the number of real zeros.

Complete each of the following.

  1. Graph each function by making a table of values.
  2. Determine consecutive values of x between which each real zero is located.
  3. Estimate the x-coordinate at which the relative maxima and relative minima occur.
fx=x3-2x2+6

Complete each of the following.

  1. Graph each function by making a table of values.
  2. Determine consecutive values of x between which each real zero is located.
  3. Estimate the x-coordinate at which the relative maxima and relative minima occur.

fx=x3-3x2+2

Find p4andp-2 for the function px=x4-7x3+8x-6.

If px=3x2-2x+5andrx=x3+x+1 then find p2a3.
See all solutions

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