1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
IrinaVladis [17]
3 years ago
6

Domain and Range for the function f(x)=5IXI is

Mathematics
1 answer:
shutvik [7]3 years ago
7 0

Answer:

The domain of the function f(x) is:

\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

The range of the function f(x) is:

\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}

Step-by-step explanation:

Given the function

f\left(x\right)=5\left|x\right|

Determining the domain:

We know that the domain of the function is the set of input or arguments for which the function is real and defined.  

In other words,  

  • Domain refers to all the possible sets of input values on the x-axis.

It is clear that the function has undefined points nor domain constraints.

Thus, the domain of the function f(x) is:

\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

Determining the range:

We also know that range is the set of values of the dependent variable for which a function is defined.  

In other words,  

  • Range refers to all the possible sets of output values on the y-axis.

We know that the range of an Absolute function is of the form

c|ax+b|+k\:\mathrm{is}\:\:f\left(x\right)\ge \:k

k=0

so

Thus, the range of the function f(x) is:

\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}

You might be interested in
Determine whether each sequence is arithmetic. If so, identify the common difference.
-Dominant- [34]

Answer:

Options 1 and 4 are arithmetic

Step-by-step explanation:

Arithmetic means that you are adding or subtracting a number in a sequence.

For option 1, we are adding 2 every time.

-3 + 2 = -1   -1 + 2 = 1   1 + 2 = 3

For option 4, we are subtracting 7 every time.

32 - 7 = 25   25 - 7 = 18   18 - 7 = 11

Option 2 is geometric. Geometric means you are multiplying or dividing by a number in a sequence.

2 * 3 = 6   6 * 3 = 18   18 * 3 = 54

Option 3 is actually quadratic. This is similar to a arithmetic, except instead, the amount added to the number is multiplied by 2 every time.

1 + 2 = 3   (2 + 2 = 4)   3 + 4 = 7   (4 + 4 = 8)   7 + 8 = 15

4 0
2 years ago
Work out, giving your answer in its simplest form:<br>5/<br>14<br>x<br>7/<br>30​
Elena L [17]
X in (-oo:+oo)

((5/14)*x^7)/30 = 0

1/84*x^7 = 0 // : 1/84

x^7 = 0

x = 0

x = 0
6 0
3 years ago
A counselor charges a client $110 for 4 hours of therapy. how much does the counselor earn per hour
Allisa [31]
$27.5 per hour .......
3 0
3 years ago
A set of middle school student heights are normally distributed with a mean of 150 centimeters and a standard deviation of 20 ce
dybincka [34]

Answer:

0.2266

Step-by-step explanation:

5 0
3 years ago
Find the circumference of the circle 5cm<br>​
GarryVolchara [31]
If the diameter is 5 then ugly just do 5xpie to get circumference if radius is 5 multiply it by two then times by pie
4 0
2 years ago
Other questions:
  • Find the x-intercept:
    7·2 answers
  • 240,000 written as a whole number multiplied by the power of ten
    15·1 answer
  • What is the exact repetend of 2222/25 divided by 39
    7·2 answers
  • What is the volume of a rectangular prism that is 3 cm by 7 cm by by 7 cm?
    7·1 answer
  • How many solutions does-2(3x-1)=-6x-1 have?
    8·1 answer
  • 1. Solve for the indicated side length for x.<br>B<br>10 cm<br>Xcm<br>35<br>A<br>C<br>x cm​
    14·1 answer
  • Someone plz help me I will give brainliest
    6·2 answers
  • Please help me!! Brainly whoever gets it right and is first!!
    12·2 answers
  • An angle measures 80.2° less than the measure of its complementary angle. What is the measure of each angle
    13·1 answer
  • One night Puvi spent 1/3 of his money on dinner and then 1/4 of the remaining money on dessert. He then had just enough left so
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!