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
ira [324]
3 years ago
8

What is the range of the function f(x) = –2|x + 1|?

Mathematics
2 answers:
sammy [17]3 years ago
8 0

Answer:

Range \rightarrow all real numbers less than or equal to 0 \rightarrow ( - ∞ , 0 ]

Step-by-step explanation:

beks73 [17]3 years ago
6 0

Answer:

Range \rightarrow all real numbers less than or equal to 0 \rightarrow ( - ∞ , 0 ]

Step-by-step explanation:

For visual understanding a graph of the  function is attached with the answer.

  • For calculating the range of any modulus function you need to know that if modulus is there across any function then the output will be always positive.

For example: x has a range of ( - ∞ , + ∞ ) but |x| has a range of [ 0 , + ∞ ). Similarly range of |x + 1| is [ 0 , + ∞ ).

  • If you multiply the modulus function with a negative sign then the output will always be negative.

For example: Range of |x| is [ 0 , + ∞ ) but range of -|x| is ( - ∞ , 0 ]. Similarly range of -|x + 1| is ( - ∞ , 0 ]

  • Range in this case won't be affected on multiplying a positive constant with the modulus function.

Therefore the range of f(x) = -2|x + 1| will be ( - ∞ , 0 ].

(NOTE : <em>[a,b] means all the numbers between 'a' and 'b' including 'a' and 'b'.</em>

<em>(a,b) means all the numbers between 'a' and 'b' excluding 'a' and 'b'.</em>

<em>(a,b] means all the numbers between 'a' and 'b' including only 'b' not 'a'.</em>

<em>[a,b) means all the numbers between 'a' and 'b' including only 'a' not 'b'.</em>

<em>{a,b} means only 'a' and 'b'.</em>

<em>{a,b] or (a,b} doesn't mean anything.</em> )

You might be interested in
17% of what number is 3.4
saw5 [17]

Answer:

20

Step-by-step explanation:

We already have our first value 3.4 and the second value 17. Let's assume the unknown value is Y which answer we will find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

Step 1 ---> 3.4 = 17% × Y

Step 2 ---> 3.4 = 17/100 × Y

Multiplying both sides by 100 and dividing both sides of the equation by 17 we will arrive at:

Step 3 ---> Y = 3.4 × 100/17

Step 4 ---> Y = 3.4 × 100 ÷ 17

Step 5 ---> Y = 20

Finally, we have found the value of Y which is 20 and that is our answer.

<h3><u>*You can easily calculate 3.4 is 17 percent of what number by using any regular calculator, simply enter 3.4 × 100 ÷ 17 and you will get your answer which is 20*</u></h3>
4 0
3 years ago
What are the coordinates of the point? (6, −3) (3, 6) (−3, −6) (−3, 6) A coordinate grid with a dot placed in the second quadran
mafiozo [28]

Answer:

(-3, 6)

Step-by-step explanation:

Quadrant II is the top left cornered <em>square</em>, so this coordinate is the one you would pick.

I am joyous to assist you anytime.

4 0
3 years ago
Read 2 more answers
Please help!!!! i don’t understand any of this and really need it.
astraxan [27]

Answer:

B) 3.2 mi

Step-by-step explanation:

1. The midpoints: midpoint formula = <em>((x₁ + x₂)/2, (y₁+ y₂)/2)</em>

upper = ((6 + -4)/2, (8 + 0)/2) --><em> (1, 4)</em>

lower = ((-8 + 2)/2, (3 + -5)/2) --><em> (-3, -1)</em>

2. Distance: distance formula = <em>√((x₁ - x₂)² + (y₁ - y₂)²)</em>

√((1 + 3)² + (4 + 1)²) = √(16 + 25) = √41 ≈ 6.403... ≈ <em>6.4</em>

3. Scale: 6.4 * 0.5 mi = 3.2 mi

5 0
3 years ago
What do you guys think?
Eva8 [605]
Correct answer is the one you put
8 0
3 years ago
How do you simplify sin 4 theta using the double angle theory?
S_A_V [24]
Double angle formulae involve trigonometric functions of double angles and in order to get its value you must consider the following:
-derive the double angle formula from additional formula
-write the formula for the angle in alternative form
-use the formula to write trigonometric expressions in different forms
-use the formula in the solution of trigonometric equations

And the answer would be 4sin(theta)cos(theta)cos(2theta)
3 0
3 years ago
Other questions:
  • When writing expressions for complex numbers, what does i represent?
    7·1 answer
  • What is the slope of y= 5+3x
    12·1 answer
  • The combined weight of the people in the elevator is 49% of the 3,025 pound capacity. Which would be The best way to estimate th
    11·1 answer
  • What is the solution set of equation ?
    14·1 answer
  • Graph ​ h(x)=(x−2)(x−4) ​. Use the parabola tool then choose the vertex followed by one point on the parabola.
    7·1 answer
  • Pete is solving for x in the problem to the right. He has decided that these angles are supplementary as 4x+16 is also the measu
    9·1 answer
  • A square pyramid has a volume of 108 cubic feet and a height of 4 feet.
    6·1 answer
  • Deon buys candy that cost $6 per pound. he will buy at most 7 pounds.
    9·2 answers
  • Thomas wants to put a fence around a rectangular garden that is 12 feet long and 7 feet wide. How much fencing will he need?
    7·2 answers
  • 7. Fred had 85 marbles. After a few games, he had 120% of his original number. How many
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!