Considering the horizontal asymptote, it is found that the end behavior of the function is that it tends to y = 5 to the left and to the right of the graph.

<h3>What are the asymptotes of a function f(x)?</h3>

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

In this problem, the function is:

$f(x) = \frac{5x}{x - 25}$

Considering the denominator, the vertical asymptote is:

x - 25 = 0 -> x = 25.

The horizontal asymptote is found as follows:

$y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{5x}{x - 25} = \lim_{x \rightarrow \infty} \frac{5x}{x} = \lim_{x \rightarrow \infty} 5 = 5$

Hence the end behavior of the function is that it tends to y = 5 to the left and to the right of the graph.

More can be learned about asymptotes and end behavior at brainly.com/question/28037814

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6 0

1 year ago

A fun park charges $10 for admission and then two dollars for every ride. Write a function that determines the amount of money s

Allisa [31]

Answer:

f(x) = 2x + 10

Step-by-step explanation:

Or <em>y = 2x + 10</em> considering the question requests it...

2x = $2 per each ride

+10 = $10 premium

6 0

2 years ago

Which of the following is the most appropriate unit to describe the rate at which water flows over niagra falls?

Mrac [35]

Billion gallons per day, because the independent quantity is volume of water in billion gallons and dependent quantity is time in days.

6 0

2 years ago

Find the measure of <8

Anestetic [448]

I’m pretty sure it’d be 72 degrees because they are alternate exterior angles

7 0

3 years ago