Evaluate the expression9!/3!

Which description compares the vertical asymptotes of function A and function B correctly?

neonofarm [45]

Answer:

Option B:

Function A has a vertical asymptote at x = 1

Function B has a vertical asymptote at x = -3

Step-by-step explanation:

A function f(x) has a vertical asymptote if:

$\lim_{x \to\\k^+}f(x) = \±\infty\\\\ \lim_{x \to\\k^-}f(x) = \±\infty$

This means that if there is a value k for which f(x) has infinity or a -infinity then x = k is a vertical asymptote of f(x). Therefore, the closer x to k approaches, the closer the function becomes to infinity.

We can calculate the asymptote for function A.

$\lim_{x \to \\1^+}(\frac{1}{x-1})\\\\ \lim_{x \to \\1^+}(\frac{1}{1^-1})\\\\ \lim_{x \to \\1^+}(\frac{1}{0}) = \infty\\\\and\\ \lim_{x \to \\1^-}(\frac{1}{x-1})\\\\\lim_{x \to \\1^-}(\frac{1}{0}) = -\infty$

Then, function A has a vertical asymptote at x = 1.

The asymptote of function B can be easily observed in the graph. Note that the function b is not defined for x = -3 and when x is closest to -3, f(x) approaches infinity.

Therefore x = -3 is asintota of function B.

Therefore the correct answer is option B.

8 0

2 years ago

Identify the independent and dependent variables for this study. The independent variable is the ratio of students to faculty us

Degger [83]

Answer:

-The independent variable is whether the motivational signs were posted, and the dependent variable is the amount of use of the stairs.

-Nominal scale.

Step-by-step explanation:

Independent variable: In research methods, the term "independent variable" is described as the variable that is being altered, manipulated, or changed by an investigator to see its effects on the dependent variable in specific research or experiment.

Dependent variable: In research methods, the term "dependent variable" is described as the variable that is being measured, analysed, or tested in an experiment by the experimenter or researcher. The dependent variable is being directly affected by the independent variable.

Nominal scale: In research methods, the term "nominal scale" is determined as one the different measurement scales in which a specific number is being served as labels or tags only and to classify and identify an object.

8 0

2 years ago

Find a. Round it to the nearest tenth

jok3333 [9.3K]

Answer:

42637646e6r7r7e7464664

6 0

2 years ago

I think of a number N. I add 5 to N and then multiply the answer by 3. The result is 84. What is the number N that l first thoug

Grace [21]

The answer is 26.33 repeating
How you get that answer is
First do N times 3
so the you have 3n + 5 = 84
minus 5 from both sides and then you get 3n = 79
divid both sides by 3 and then you get n = 26.33 reapting

4 0

2 years ago

Read 2 more answers

What's the answer Gggggvgvvcdgjhggghhgggggggvhggggggg

docker41 [41]

When answering things like this do the brackets first, is there are parenthesis in the brackets do those but keep it in the brackets and work regularly after

3 0

2 years ago