Chapter 7: Q4. (page 356)

Graph the polynomial function $f (x) = x^{3} - x^{2} - 4 x + 4$ by making table of values.

Short Answer

Expert verified

The graph of the polynomial function $f (x) = x^{3} - x^{2} - 4 x + 4$ is shown below.

Step by step solution

Step 1. Write down the given information.

The given polynomial function is $f (x) = x^{3} - x^{2} - 4 x + 4$

Step 2. Construct the table of values.

Construct the table of values for different $x and y$ for the function $f (x) = x^{3} - x^{2} - 4 x + 4$ .

x	f(x)
1	0
2	0
-2	0
0	4
-1	6

Step 3. Sketch the graph of the function.

The graph of the function $y = - x^{2} + 6 x - 5$ 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 three points. Hence it will have three real solutions.

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Graph the polynomial function $f (x) = x^{3} - x^{2} - 4 x + 4$ 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.

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Graph the polynomial function fx=x3-x2-4x+4 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

Mechanics Maths

Statistics

Theoretical and Mathematical Physics

Logic and Functions

Calculus

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Graph the polynomial function $f (x) = x^{3} - x^{2} - 4 x + 4$ by making table of values.