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Chapter 7: Q28. (page 350)

Find p4andp-2 for the function px=12x4-2x2+4.

Short Answer

Expert verified

The value of p4=100andp-2=4.

Step by step solution

01

Step 1. Write down the given information.

The given function is px=12x4-2x2+4.

02

Step 2. Calculation.

Evaluating p4andp-2 by plugging x=4andx=-2 in given function px=12x4-2x2+4.

px=12x4−2x2+4....Givenp4=1244−242+4=100Now,p−2=12−24−2−22+4=4

03

Step 3. Conclusion.

The value of p4=100andp-2=4.

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Most popular questions from this chapter

WritinginMATH Answer the question that was posed at the beginning of the lesson.

Where are polynomial functions found in nature?

Include the following in your answer:

• an explanation of how you could use the equation to find the number of

hexagons in the tenth ring, and

• any other examples of patterns found in nature that might be modeled by a

polynomial equation.

THEATER For Exercises 46–48, use the graph that models the attendance to Broadway plays (in millions) from 1970-2000.

Is the graph an odd-degree or even-degree function?

For each graph,

a. Describe the end behaviour.

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c. state the number of real zeros.

Complete each of the following.

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  3. Estimate the x-coordinate at which the relative maxima and relative minima occur.

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EMPLOYMENT For Exercises 27–30, use the graph that models the unemployment rates from 1975–2000.

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