A categorical variable is a variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property. Example of categorical variables are race, sex group and education level.

4 0

3 years ago

Which of the following rational functions is graphed below?

Illusion [34]

Answer:

A. $f(x) = \frac{x-1}{x\cdot (x-3)}$

Step-by-step explanation:

A rational-polynomic function is a function of the form:

$f(x) = \frac{p(x)}{q(x)}$ (1)

There are three important remarks on this kind of function:

1) $p(x) = 0$ when function passes through the x-axis.

2) If $q(x) = 0$ , then the function $f(x)$ has a vertical asymptote.

3) The horizontal asymptote is a linear function of the form $y = \lim_{x \to \pm \infty} f(x)$ .

In accordance with the graph, the function has two vertical asymptotes at $x = 0$ and $x = 3$ , numerator becomes zero for $x = 1$ and horizontal asymptote is $y = 0$ as grade of numerator is less than grade of denominator.

Hence, we conclude that rational function is $f(x) = \frac{x-1}{x\cdot (x-3)}$ <em>. </em>(Correct answer: A)

7 0

3 years ago

4) True or False? Our town is growing with a doubling time of 40 years, so its

mart [117]

Answer:
False

Explain:

6 0

2 years ago