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
zhenek [66]
3 years ago
12

What is the range of the function f(x)=3/4 |x|-3

Mathematics
2 answers:
zzz [600]3 years ago
7 0
<h2>Answer:</h2>

The range of the given function is:

  •   All real numbers greater than or equal to -3​
<h2>Step-by-step explanation:</h2>

We are given a modulus function f(x) by:

           f(x)=\dfrac{3}{4}|x|-3

From the graph of the function we may see that the graph continuously decreases from x= ∞ to x=0 and at x=0 the function  attains the values ,

                                  f(0)= -3

and then it again increases continuously and goes to infinity.

Hence, the function covers all the real values between -3 to ∞

i.e. The range of the function in interval form is: [-3,∞)

         Hence, the answer is:

   All real numbers greater than or equal to -3​

ololo11 [35]3 years ago
3 0

The answer is the forth one.

You might be interested in
A sphere has a radius of 12 inches. A second sphere has a radius of 9 inches. What is the difference of the volumes of the spher
just olya [345]

Answer:

Solution given;

for sphere

radius [r]:12inches

another

radius [R]:9inches

Now

difference in volume of sphere:

volume of sphere of having radius [r-R]

=\frac{4}{3} πr³-\frac{4}{3} πR³

=\frac{4}{3} π(12³-9³)

= 1332π cubic inches

The volume of the larger sphere is <u>___1332</u>__π cubic inches greater than the volume of the smaller sphere.

3 0
3 years ago
A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready func
djyliett [7]

Answer:

y=120 * 1.1^x --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

x \to months

y \to mice

So, we have:

(x_1,y_1) = (0,120) --- Monday

(x_2,y_2) = (1,132) --- One month later

Required

The function

The function is represented as:

y=ab^x

In (x_1,y_1) = (0,120), we have:

120 = a * b^0

120 = a * 1

120 = a

a=120

In (x_2,y_2) = (1,132), we have:

132 = a * b^1

132 = a * b

Substitute: a=120

132 = 120 * b

Solve for b

b = \frac{132}{120}

b = 1.1

So, the function is:

y=ab^x

y=120 * 1.1^x

To calculate the monthly rate (r), we have:

y =a(1 + r)^x

Compare to: y =ab^x

1 + r = b

Make r the subject

r = b-1

Substitute b = 1.1

r = 1.1-1

r = 0.1

Express as percentage

r = 0.1*100\%

r = 10\%

5 0
3 years ago
10 x 200 is how many tens
melisa1 [442]
10 x 200 is 2000
therefore there are 200 tens .
7 0
3 years ago
Read 2 more answers
❗️❗️❗️❗️❗️PLEASE HELP SIMPLE INTEREST!! Lesson 6.7 ❗️❗️❗️❗️
Flura [38]

1200 * 0.05 * 4 = 240$ the amount of interest after 4 years.

total 1200+240=1440$

4 0
3 years ago
F(x)=2x^2+7x-5+g(x)=-8x^2-3x+5<br><br> what is g(x) + f(x)
Licemer1 [7]
F(x) = 2x² + 7x - 5
g(x) = -8x² - 3x + 5

g(x) + f(x)
-8x² - 3x + 5 + 2x² + 7x - 5
-8x² + 2x² - 3x + 7x + 5 - 5
-6x² + 4x + 0

-2x(3x - 2)
8 0
4 years ago
Other questions:
  • Express it in a+bi form
    7·1 answer
  • Bonnie is making a dipping sauce. She mixes 150 milliliters of soy sauce with 100 milliliters of vinegar. How much soy sauce doe
    12·1 answer
  • Solve each system using elimination. <br> y=x2<br> y=x+2
    15·1 answer
  • A certain restaurant offers 8 different salads, 5 different main courses, 6 different desserts. if customers choose one salad, o
    15·1 answer
  • What are the factors of 16x²-12x+20?
    12·1 answer
  • Solve for x. Round to the nearest tenth of a degree, if necessary
    15·1 answer
  • Solve each of the following: Show your work. 3 movie tickets cost $36. At this rate, what is the cost per ticket? 3 ice cream co
    11·1 answer
  • PLEASE HELP IM LITERALLY STUCK!
    5·1 answer
  • A cone has the same radius and height as a cylinder which has greater volume the cone or the cylinder
    7·1 answer
  • Plz help me with this binary division whith full process/explanation 1001010 ÷ 101​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!