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Chapter 4: Q. 10 (page 224)

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

Short Answer

Expert verified

The given statement " The graph of a rational function may intersect a vertical asymptote." is false.

Step by step solution

01

Step 1. Given Information

The given statement is " The graph of a rational function may intersect a vertical asymptote."

02

Step 2. True or False

We know that the graph can't intersect vertical asymptotes because if so then the value of the graph will be undefined at that point of intersection.

Thus, the given statement is false.

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Most popular questions from this chapter

Find the real zeros of f. Use the real zeros to factor f.

$f (x) = x^{3} + 6 x^{2} + 6 x - 4$

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.

$f (x) = 3 x^{4} - 3 x^{3} + x^{2} - x + 1$

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$f (x) = 4 x^{4} - 15 x^{3} - 8 x^{2} + 15 x + 4$

In physics, it is established that the acceleration

due to gravity, g (in meters/sec2), at a height h meters above

sea level is given by

$g (h) = \frac{3.99 \times 10^{14}}{{(6.374 \times 10^{6} + h)}^{2}}$

where $6.374 \times 10^{6}$ is the radius of Earth in meters.

(a) What is the acceleration due to gravity at sea level?

(b)

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What is the acceleration due to gravity at the top of the

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(c) The peak of Mount Everest is 8848 meters above sea

level. What is the acceleration due to gravity on the

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(d) Find the horizontal asymptote of $g (h)$ .

(e) Solve $g (h) = 0$ . How do you interpret your answer?

See all solutions

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