Chapter 7: Q5. (page 356)

Graph the polynomial function $f (x) = x^{4} - 7 x^{2} + x + 5$ by making table of values.

Short Answer

Expert verified

The graph of the polynomial function $f (x) = x^{4} - 7 x^{2} + x + 5$ is shown below.

Step by step solution

Step 1. Write down the given information.

The given polynomial function is $f (x) = x^{4} - 7 x^{2} + x + 5$

Step 2. Construct the table of values.

Construct the table of values for different $x and y$ for the function $f (x) = x^{4} - 7 x^{2} + x + 5$ .

x	f(x)
0	5
1	0
-2.576	0
-0.813	0
2.388	0

Step 3. Sketch the graph of the function.

The graph of the function $f (x) = x^{4} - 7 x^{2} + x + 5$ can be constructed by plotting the ordered pair of $(x, y)$ from the table.

Step 4. Interpretation the graph of the function.

From the graph it can be interpreted that the graph cuts x-axis at four points. Hence it will have four real solutions.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Graph the polynomial function $f (x) = x^{4} - 7 x^{2} + x + 5$ by making table of values.

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Construct the table of values.

Step 3. Sketch the graph of the function.

Step 4. Interpretation the graph of the function.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Applied Mathematics

Geometry

Statistics

Calculus

Logic and Functions

Study anywhere. Anytime. Across all devices.

Graph the polynomial function fx=x4-7x2+x+5 by making table of values.

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Construct the table of values.

Step 3. Sketch the graph of the function.

Step 4. Interpretation the graph of the function.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Applied Mathematics

Geometry

Statistics

Calculus

Logic and Functions

Study anywhere. Anytime. Across all devices.

Graph the polynomial function $f (x) = x^{4} - 7 x^{2} + x + 5$ by making table of values.