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Chapter 4: Q. 3 (page 241)

True or False : A test number for the interval $- 2 < x < 5$ could be 4.

Short Answer

Expert verified

True.

Step by step solution

Step 1. Given information.

Interval given is $- 2 < x < 5$ or $(- 2, 5)$ .

An interval is a range of numbers between two given numbers and includes all of the real numbers between those two numbers.

As $4$ comes in the interval $(- 2, 5)$ , so it can be a test number for the given interval.

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Most popular questions from this chapter

Find the real zeros of f. Use the real zeros to factor f. $f (x) = x^{4} - x^{3} - 6 x^{2} + 4 x + 8$

In Problems 57– 62, find the real zeros of f. If necessary, round to two decimal places.

$f (x) = x^{4} + 1.2 x^{3} - 7.46 x^{2} - 4.692 x + 15.2881$

In Problems 21–32, determine the maximum number of real zeros that each polynomial function may have. Then list the potential rational zeros of each polynomial function. Do not attempt to find the zeros.

$f (x) = x^{5} - x^{4} + 2 x^{2} + 3$

True or False. The graph of a rational function may intersect

a horizontal asymptote.

Find $f (- 1)$ if,

$f (x) = 2 x^{2} - x$

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True or False : A test number for the interval $- 2 < x < 5$ could be 4.

Short Answer

Step by step solution

Step 1. Given information.

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

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True or False : A test number for the interval-2<x<5could be 4.

Short Answer

Step by step solution

Step 1. Given information.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Applied Mathematics

Mechanics Maths

Probability and Statistics

Logic and Functions

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

True or False : A test number for the interval $- 2 < x < 5$ could be 4.