All categories

2 years ago

Can Someone Please Help Me With This Problem.

Mathematics

1 answer:

34kurt2 years ago

5 0

Answer:

Option B {1,3,4,5}

Step-by-step explanation:

The domain of the function is nothing but the input of the given function

Therefore the domain of given function is

{1,3,4,5} Option B

You might be interested in

Which of these statements is true for f(x)=(1/10)^x

lana66690 [7]

Step-by-step explanation:

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

Analyzing option A)

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

Putting $x = 1$ in the function

$f\left(1\right)=\:\left(\frac{1}{10}\right)^1$

$f\left(1\right)=\:\left\frac{1}{10}\right$

So, it is TRUE that when $x = 1$ then the out put will be $f\left(1\right)=\:\left\frac{1}{10}\right$

Therefore, the statement that '' The graph contains $\left(1,\:\frac{1}{10}\right)$ '' is TRUE.

Analyzing option B)

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

The range of the function is the set of values of the dependent variable for which a function is defined.

$\mathrm{The\:range\:of\:an\:exponential\:function\:of\:the\:form}\:c\cdot \:n^{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)>k$

$k=0$

$f\left(x\right)>0$

Thus,

$\mathrm{Range\:of\:}\left(\frac{1}{10}\right)^x:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}$

Therefore, the statement that ''The range of $f(x)$ is $y > \frac{1}{10}$ " is FALSE

Analyzing option C)

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

The domain of the function is the set of input values which the function is real and defined.

As the function has no undefined points nor domain constraints.

So, the domain is $-\infty \:$

Thus,

$\mathrm{Domain\:of\:}\:\left(\frac{1}{10}\right)^x\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

Therefore, the statement that ''The domain of $f(x)$ is $x>0$ '' is FALSE.

Analyzing option D)

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

As the base of the exponential function is less then 1.

i.e. 0 < b < 1

Thus, the function is decreasing

Also check the graph of the function below, which shows that the function is decreasing.

Therefore, the statement '' It is always increasing '' is FALSE.

Keywords: function, exponential function, increasing function, decreasing function, domain, range

Learn more about exponential function from brainly.com/question/13657083

#learnwithBrainly

3 0

3 years ago

Read 2 more answers

A tax that is collected by a company based on sales of products or services

Darya [45]

A Jew on juice and H

6 0

2 years ago

How to find the area of a regular polygon?

vaieri [72.5K]

To find the regular follow this formula ; area = 1/2 x perimeter x apothem. Which means ... perimeter = the sum of lengths of the all sides

4 0

3 years ago

Read 2 more answers

What is the value of f(3) in the function f(x)=5/6x+8

natita [175]

For this case we have a function of the form $y = f (x)$ , where $f (x) = \frac {5} {6} x + 8$

We must find the value of the function when $x = 3$ , that is, we must find f (3). So:

$f (3) = \frac {5} {6} (3) + 8\\f (3) = \frac {15} {6} +8\\f (3) = \frac {5} {2} +8\\f (3) = 2.5 + 8\\f (3) = 10.5$

So $f (3) = 10.5$

Answer:

$f (3) = 10.5$

3 0

3 years ago

What customary unit would you use to estimate? A car is about 15 _____ long. inches meters yards feet

ch4aika [34]

Answer:

feet

Step-by-step explanation:

3 0

3 years ago

Can Someone Please Help Me With This Problem.​

Can Someone Please Help Me With This Problem.