state the domain, the range, and the intervals on which function is increasing, decreasing, or constant in interval notation

State The Domain, The Range, And The Intervals On Which Function Is Increasing, Decreasing, Or Constant

Answers

Answer 1

Answer:

domain (-∞, ∞)range (-∞, 4]increasing (-∞, 0)decreasing (0, ∞)constant (only at x=0, not on any interval)

Step-by-step explanation:

The graph is of the equation y = -x^2 +4. It is a polynomial of even degree, so has a domain of all real numbers: (-∞, ∞).

The vertical extent of the graph includes y=4 and all numbers less than that:

  range: (-∞, 4]

The graph is increasing to the left of its vertex at x=0, decreasing to the right.

  increasing (-∞, 0); decreasing (0, ∞)

There is no interval on which the function is constant. It has a horizontal tangent at x=0, but a single point does not constitute an interval.


Related Questions

evaluate 2x^2-3x+6 for x=4 ​

Answers

Answer:

999

Step-by-step explanation:

99l

Answer: 26

Step-by-step explanation:

x is equal to 4 so we will input 4 into the expression for x and solve.

2(4)^2 - 3(4) + 6

2(16) - 12 + 6

32 - 12 + 6

32 - 6 = 26

which is longer 5 miles or 5 kilometers?​

Answers

Answer:

im pretty sure its kilometers

5 miles should be the answer

What is the factored form of x3+ 64?

Answers

Answer:

the answer is  (x – 4)(x2 + 4x + 16).

Answer:

Step-by-step explanation:

if f(x) = 5x -1 find f(1)

Answers

f(1)= 5(1)-1

f(1)= 5-1

f(1)= 4

Answer: 4

The answer will be 4
F(1)=5(1)-1
F(1)=4

is it possible to build a triangle with side lengths of 5, 5, 10

Answers

no, the sum of the lengths of any two triangle must be greater the the length of the third side .

Give two real-world situations that could be represented by the value 30

Answers

Answer:

There are lot of real world situations that could be represented by the value of 30.

Step-by-step explanation:

1- I went to a office for interview they said to me they will give 30$ as a salary per day.

2- I went to a shop and bought a cofee box. shopkeeper demanded me 30$ for it.

These are the best examples of real-world situations that could be represented by the value 30

Answer:

here this is so u can give brainliest to him

Step-by-step explanation:

please help! having trouble with this question. will give 5 stars, thanks, and brainliest.

Answers

Answer:

-4 is the first,-64 is the second,0/14, 1.2,2/3,25/11,4,25

Step-by-step explanation:

Determine if each set of ordered pairs represents a function.

Answers

Answer:

h is the a

Step-by-step explanation:

integrate x^2+5 please i need it fast

Answers

Answer:

[tex]\frac{1}{3}[/tex] x³ + 5x + c

Step-by-step explanation:

Using the power rule

∫ a[tex]x^{n}[/tex] dx = [tex]\frac{a}{n+1}[/tex] [tex]x^{n+1}[/tex]

Thus

∫ x² + 5 dx

= [tex]\frac{1}{3}[/tex] x³ + 5x + c ← c is the constant of integration

HELP PLS I NEED THIS >3

Answers

Answer:

56

Step-by-step explanation:

Here, n = 8, r = 3

[tex] \huge \orange{ \because \: ^nC_r = \frac{n!}{r!(n - r)!} } \\ \\ \huge \therefore \: ^8C_3 = \frac{8!}{3!(8 - 3)!} \\ \\ \huge \therefore \: ^8C_3 = \frac{8 \times 7 \times 6 \times 5!}{3 \times 2 \times 1 \times 5!} \\ \\ \huge \red{ \boxed{\therefore \:^8C_3 = \purple{56}}}[/tex]

Cuanto es la respuesta de -126=14k?

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \text{k = - 9}}}}}[/tex]

Step-by-step explanation:

[tex] \star{ \text{ - 126 = 14k}}[/tex]

[tex] \text{step \: 1 \: : Intercambia los lados de la ecuación}[/tex]

[tex] \hookrightarrow{ \sf{14k = - 126}}[/tex]

[tex] \text{step \: 2 : Divide ambos lados por 14}[/tex]

[tex] \hookrightarrow{ \sf{ \frac{14k}{14} = \frac{ - 126}{14}}} [/tex]

[tex] \text{step \: 3 \: : Calcular}[/tex]

[tex] \hookrightarrow{ \sf{k = - 9}}[/tex]

[tex] \text{el valor de k es - 9}[/tex]

------------------------------------------------------------

Translation in English:

Step 1 : Swap the sides of the equation

Step 2 : Divide both sides by 14

Step 3 : Calculate

[tex] \sf{Hope \: i \: helped ! }[/tex]

[tex] \sf{Best \: regards !!}[/tex]

~[tex] \sf{TheAnimeGirl}[/tex]

Can you put that in English please thanks.

The volume of a pyramid, V, is calculated using the formula V = 1/3 AH, where A is the area of the base and H is the height of the pyramid.

Rearrange the formula to solve for the base area (A)

Answers

Answer:

A= 3V/H

Step-by-step explanation:

V=1/3 AH

multiply 3 on both sides

3V=AH

divide both sides by H

3V/H=A

Two fifteenths times 10

Answers

Answer:

1.3

Step-by-step explanation:

what is the least common denominator of the fractions 2/3 and 3/5? HELP PLEASE

Answers

Answer:what is the least common denominator of the fractions 2/3 and 3/5? HELP PLEASE

Step-by-step explanation:

Answer:

I think the LCM is 4/5

Step-by-step explanation:

HELP ME PLESA IM DESPO PAKJDCD PLS HELP

Answers

Answer:

144 cm²

Step-by-step explanation:

A prism's surface has 2 triangles & 3 rectangles.

In both the triangles , length of :

Perpendicular = 4 cm

Base = 6 cm

So , Area of both triangles = [tex]2(\frac{1}{2} * Base * Perpendicular) = 2(\frac{1}{2}* 6 * 4) = 24 cm^2[/tex]

In the 3 rectangles ,

Length = 8 cm

Width = 5 cm

So , Area of the rectangles = [tex]3( Length * Width) = 3(8 * 5) = 120 cm^2[/tex]

Hence the total surface area of the prism is = 120 + 24 =144 cm²

NEED HELP ASAP!!!
TEN POINTS!

Answers

The answer it’s letter D

Please how to do this ​4−(3−5)= ​​

Answers

Answer:

Well, subtract 3 and 5 first, you get 2, then subtract 4-2. you get 2.

Step-by-step explanation:

(3-5) = 2

4-2=2

3x - 6 = 2(x + 4). find the value

Answers

3x -6 = 2(x + 4)
Multiply x by two and 4 by 2 to get
3x - 6 = 2x + 8
You want the x to be alone on one side so you add six on both sides to get rid of it to get:
3x = 2x + 14
You still don’t have just one x and it isn’t alone on one side, so you subtract 2x from both sides and get
x = 14

2m - n =8 Solve for n

Answers

Answer:

[tex] \boxed{\sf n = 2m - 8} [/tex]

Step-by-step explanation:

Solve for n:

⇒2m - n = 8

Subtract 2 m from both sides:

⇒2m - 2m - n = 8 - 2m

2m - 2m = 0:

⇒-n = 8 - 2 m

Multiply both sides by -1:

⇒-n × (-1) = (8 - 2m) × (-1)

⇒n = 2m - 8

The required value of n is equal to n = 2m - 8.

An expression is given in the question ; i.e., 2m - n = 8.

We have to find the value of the 'n' .

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , subtraction , etc.

As per the question ;

The given expression is 2m - n = 8.

Let's solve it to get the value of n.

The value of n can be find out , if we bring n to the left side of equal sign and 8 to the right of equal sign.

So ,

2m - n = 8 can be written as ;

2m = 8 + n

or

n = 2m - 8

Thus , the required value of n is equal to n = 2m - 8.

To learn more about algebra click here ;

brainly.com/question/26479183

#SPJ2

Somebody plz just answer number 11!!!
Thanks (Will mark as if correct brainliest)
:D

Answers

Answer:

27.38

Step-by-step explanation:

This is the answer because:

1) Standard form means to write the full number

2) First we have to multiply because we have to use order of operations

3) So do 2 x 10 which is 20

4) Then, do 7 x 1 which is 7

5) Next, do 3 x 0.1 which is 0.3

6) Finally, do 8 x 0.01

The new equation is:

20 + 7 + 0.3 + 0.08

This expression equals to 27.38

Therefore, the answer is 27.38

Hope this helps!

can someone help me answer this please

Answers

Answer:

x^2 -14x+49

Step-by-step explanation:

(x-7) ^2

(x-7)(x-7)

FOIL

first ( x*x) = x^2

outer -7x

inner -7x

last -7*-7 = 49

Add these together

x^2 -7x-7x+49

Combine like terms

x^2 -14x+49

Translate the following into a verbal expression 3(4-x)+7

Answers

Answer:

3 times 4 minus a number, plus 7

3(4 - x) + 7

simplify 3x+6=18, please

Answers

Answer:

x = 4

Step-by-step explanation:

Step 1: Write out equation

3x + 6 = 18

Step 2: Subtract 6 on both sides

3x = 12

Step 3: Divide both sides by 3

x = 4

Answer:

4

Step-by-step explanation:

3x +6 =18

3x =18 - 6

3x =12

x =12 :3

x =4

solve for the equation 5x+5=3x+11

Answers

The answer for this equation is X=3

these days more and more appliances are talking to each other and with the internet. How will all this talk help in the development of AI systems​

Answers

Answer:

please mark brainliest!

Step-by-step explanation:

The internet today is driven by smartphones, tablets, and personal, given in the system Explanation, AI makes the appliances talk to each other by decoding.

write a word phrase for
[tex] - 5 - 4n[/tex]

Answers

-5: negative five

-: minus

4n: a number times four

Put everything together.

Negative give minus a number times four.

Best of Luck!

What is the product of 2x - 5 and 3x2 + 5x - 7? Write your answer in standard form.
(a) Show your work.
(b) is the product of 2x - 5 and 3x2 + 5x - 7equal to the product of 5x - 2 and 3x2 + 5x - 7? Explain your
answer.

Answers

Answer:

a) 6x³ − 5x² − 39x + 35

b) no

Step-by-step explanation:

(2x − 5) (3x² + 5x − 7)

Distribute:

3x² (2x − 5) + 5x (2x − 5) − 7 (2x − 5)

Distribute again:

6x³ − 15x² + 10x² − 25x − 14x + 35

Combine like terms:

6x³ − 5x² − 39x + 35

5x − 2 is the opposite of 2x − 5, so you would get the negative of the answer from part (a).

What is your dream car

Answers

Answer:

Toyota like my mom hajaha

Either a Ford like my dad or a Audi like my aunt lol

what do I do this is my lat question and I forgot how to do this

Answers

Multiple the number outside the (*) by both numbers within and then solve for each side.
Perimeter is all the sides added up together, so we would set this up like this:

P = (x) + 2(x+5) + 6(x-1) + 3(x+2)

You should know how to solve it from there, but this is the answer, hope it helped!

In 1979, zoologists estimated the number of fish in a local pond to be about
540. In 1989, 10 years later, the zoologists estimated that the number of
fish had increased to 990. Assuming that the fish population increased
linearly, how many fish lived in the pond in 1986? *
ann

Answers

Answer:

693 fish

Step-by-step explanation:

In 10 years, we can tell that the amount of fish increased by 1.833...(990 divided by 540) times. If we divide 1.833... by 10, we can find how much the pond increases by yearly. we get 0.1833... If we multiply that by 7 (because the gap between 1986 and 1979 is 7 years), we get 1.2833... So, if we multiply 540 by 1.28333..., we get 693 fish.

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