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Chapter 7: Q57. (page 352)

The figure at the right shows the graph of the polynomial function f(x). Which of the following could be the degree of f(x)?

A) 2, B) 3, C) 4, D) 5

Short Answer

Expert verified

The possible degree of f(x) is 4.

Step by step solution

01

Step 1. Given

Given graph is:

02

Step 2. To determine

We have to determine the degree of the polynomial function f(x).

03

Step 3. Calculation

From the graph,

It goes upwards both on the left and the right side.

Since it goes to the same side on both ends, so it is an even-degree polynomial function.

In the option only 4 is the even number. So, the possible degree of f(x) is 4.

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Most popular questions from this chapter

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+5x2-9

The graph of the polynomial function fx=axx-4x+1 passes through the point 5,15. Re-write the function as the cubic function.

State the degree and leading coefficient of polynomial 7+3x2-5x3+6x2-2x in one variable. If it is not a polynomial in one variable, explain why.

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=-x4+x3+8x2-3
See all solutions

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