Write a rational function with the given characteristics.

1 answer:

6 0

According to the question, to express the rational function for the vertical asymptote whose equation is $x=8$ and horizontal asymptote whose equation is at $y=0.$

As per the question, the function 'f(x)' is vertical at $x=8$ . Therefore, the denominator be $(x-8)$

$f(x)=\frac{g(x)}{(x-8)}$

The function 'g(x)' should have same degree as the denominator function has and it is defined as $y=0$

The rational function can be written as:

Rational function = $\frac{y}{(X-8)}$

What is rational function?

Rational function is a function whose numerator and denominator terms are in polynomials. Basically, it is a ratio of polynomials. The important condition for these type of function is that denominator should be of degree one.

To learn more about rational function from the given link:

brainly.com/question/19044037

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Step-by-step explanation:

We are given the following in the question:

$y = 0.8x + 20$

where x is the student's original test score and y is the student's adjusted test score.

We have to find the standard deviation of the adjusted test scores of the students in the class, if the standard deviation of the original test scores of the students in the class was 20.

We know that:

Adding a constant to each value in a data set does not change the value of the standard deviation.
Multiplying each value in a data set by a constant also multiplies the standard deviation by that constant.

Thus, if we add 20 to each data set then, the standard deviation does not change.

But multiplying each score by 0.8, changes the standard deviation 0.8 times.

Thus, we can write:

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