Determine the intervals of the domain over which the function is continuous.
A) (-infinity,0]
B) [0,infinity)
C) (-infinity, infinity)
D) (0,infinity)

Determine The Intervals Of The Domain Over Which The Function Is Continuous. A) (-infinity,0] B) [0,infinity)C)

Answers

Answer 1

The intervals of the domain over which the function is continuous is - option (C) (-infinity, infinity).

A function is said to be continuous on an interval when the function is defined at every point on that interval and undergoes no interruptions, jumps, or breaks. If some function f(x) satisfies these criteria from x=a to x=b, for example, we say that f(x) is continuous on the interval [a, b]. The brackets mean that the interval is closed -- that it includes the endpoints a and b. In other words, that the interval is defined as a ≤ x ≤ b. An open interval (a, b), on the other hand, would not include endpoints a and b, and would be defined as a < x < b.

we use a square bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded.

If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of f.

So the  the intervals of the domain over which the function is continuous is (-infinity, infinity) .

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Related Questions

m divided 6 when m=48

Answers

[tex]\dfrac m 6 = \dfrac{48}6 = \dfrac{ 8 \times 6}6 = 8[/tex]

Two side of a triangle are 26 and 27, while the height to the third side is 25. Find the area of the triangle.

Answers

Based on the information given, the area of the triangle is 291.85.

From the information given,

A = 26

A = 26B = 27

A = 26B = 27C = 25

Firstly, we'll add the sides given and divide them by 2. This will be:

S = (26 + 27 + 25) / 2

S = 78/2

S = 39

Then we will use the formula:

= s(s - a)(s - b)(s - c)

= 39(39 - 26)(39 - 27)(39 - 25)

= 39(13 × 12 × 14)

= 85176

Lastly, we'll find the square root of the value gotten. This will be:

= ✓85176

= 291.85.

Therefore, the area is 291.85.

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Plz plz plz plz plz

Answers

B
C

Hope this helps brotato chip

Is this answer right?

Answers

Answer:

correct.

Step-by-step explanation:

Ken and Leah are trying to solve a science homework question. They need to find out how much a rock that weighs 4 pounds on Earth would weigh on Mars. They know they can multiply the amount the rock weighs on Earth by 0.38 to find its weight on Mars..

Answers

Answer:

1.52

Step-by-step explanation: your suppose to multiply them I just learned this 2 weeks ago hope this helps

Find the roots of the equation: 6y^2 + 24 = 0

Answers

Answer:

y = ±2i

Step-by-step explanation:

6y^2 + 24 = 0

Divide both sides by 6

y^2 + 4 = 0

Subtract 4 from both sides

y^2 = -4

Take the square root of both sides

y = ±√-4

y = ±2√-1

y = ±2i

Answer:

Step-by-step explanation:

6y^2+24=0

/6

y^2+4=0

y^2=-4

y=±[tex]\sqrt{-4}[/tex]

y=±[tex]\sqrt{4}[/tex] i

4.
What property could you use to show that these two triangles are congruent?

Two triangles
HL
SSS
SAS
ASA

Answers

Answer:

All four

Step-by-step explanation:

SSS, SAS, ASA, and HL

67 is 0.12% of what number?

Answers

we have 67/x . 100% = 0.12 %

so x = 67.100%/0.12% = 55833,(3) ≈ 56

ok done . Thank to me :>

What is the equation for the line in slope-intercept form?

Answers

y=-2x-4 is the answer:)

You kayak up a river at a rate of 28 feet every 30 seconds. You kayak 423 feet every 9 minutes on the way back down the river. How fast are you traveling up river? down river? (Be sure and change your seconds to minutes)

Up River:
ft:
min

Down River:
ft:
min

Answers

You traveled up the river at 56 feet a minute and down the river at 47 feet a minute.

The question is asking us to simply convert the speed traveled in feet per second to feet per minute. To do that, we say,

28 feet in 30 seconds, if we multiply both by two. We have 56 feet in 60 seconds. Also remember that 60 seconds make 1 minute. Thus, you must have kayaked up the river at 56 feet in a minute.

423 feet in 9 minutes, if we divide both by nine. We have 47 feet in a minute. This means that you kayaked 47 feet a minute down the river.

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can somebody please help me

Answers

Answer:

b

Step-by-step explanation:

How to tell if something is a function.

Answers

Answer:

it is when it can make a mathematical statement

In 2013 the population of Indonesia was 200 million. The population was increasing by 2.3% per year. What will the population of Indonesia be in 2022.

Answers

Just multiply and you have the answer

PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE

Answers

Answer:

Parallel

Step-by-step explanation:

So if they have the same slope but different y-intercepts, it would be parallel because the slope stays the same so the line doent change, just the starting point

for example use the following equations

y = x + 2

y = x + 3

In the graph, these equations are parallel

Answer:

Neither

Step-by-step explanation:

Because the y intercepts, or the (point on the y axis) is different

May I please have brainliest?

Please help me with this homework

Answers

Step-by-step explanation:

we see f(x), which is |x|.

and we see g(x), which is clearly the same basic graph, it is just shifted 3 units down in y direction.

shifts are simply done by keeping the original function definition and then add it subtract a certain constant that then adapts every original functional value.

so, a shift down by 3 units is done by adding -3.

therefore, C is the correct answer (the original f(x) - 3).

Giovanni can read 100 words per minute. If there are approximately 400 words on a page, about how many pages can he read in 2 hours?

Answers

Answer:

Step-by-step explanation: she can read 15  pages an hour but she read for 2 hours so she read 30 pages

i really need help i don’t get this at ALL. :(

Answers

Step-by-step explanation:

You have to go to Y axis first then to X. For example : (4,5) go up 4 and go to x axis and when u get to 5 you put a dot. The same thing if is (-4,-5) go down 4 and to the left 5 and mark a dot. When you mark the dot put (_,_).

Hope you understand. Let me know if you don't.

Evaluate the expression when a=14 and b=6



−8ab= ?

Answers

Answer:

[tex] - 8ab \\ \\ - 8 \times 14 \times 6 \\ \\ = - 672[/tex]

Answer:

[tex] \\ \tt- 8ab[/tex]

[tex] \\ \tt = - 8 \times 14 \times 6[/tex]

[tex] \\ \tt= - 672[/tex]

(Picture provided)

Helppppppp plsss

Answers

Answer:

100 degrees

Step-by-step explanation:

at first i thought it was a right angle but i looked at the other shape and seen it was a 80 degree angle for B, then i seen C on the same shape, so that just proved what i thought that W was on the other shape because its not a 90 degree right angle, its a bigger angle not as big as C on the other shape, but not a 90 degree angle either, so its 100 degree angle.

NEED HELP NOW! SOLVE THE INEQUALITY: -r/3 ≤ 6


The r/3 is not division.. its a fraction. thx

Also.. once one person has answered... please don't answer more... i don't want ore than 10 points taken away. thank you so much

Answers

Answer:

[tex]r\geq -18[/tex]

Step-by-step explanation:

[tex]\frac{-r}{3} \leq 6\\\rule{150}{0.5}\\(\frac{-r}{3})*3\leq 6*3\\\\-r \leq 18\\\\\frac{-r \leq 18}{-1}\\\\\boxed{ r\geq -18}[/tex]

Hope this helps!

two friends A and b invest some money in a buisness in the ratio 13:12. they make a profit of 542600. How much should b receive as profit if the profit is proportional to the investment

Answers

Answer:

Step-by-step explanation:

Dashawn solves the following system of equations using the elimination method.

3x−4y=36
5x+2y=8

What value does he correctly determine for x?

Enter you answer in the box.

Answers

Answer:

x = 4

Explanation:

3x - 4y = 36

5x + 2y = 8 ( multiply all by two )

3x - 4y = 36

10x + 4y = 16

13x = 52

Divide by 13

x = 4 hope this helps

Answer: x = 4

Step-by-step explanation: the dude is correct

Solve for x

#6:

X=_

#7

X= _​

Answers

Step-by-step explanation:

for the first one let's write our equation

(13x+2)+(3x-4)+(5x-7)=180

Combine like terms

21x-9=180

Add 9 to both sides

21x=189

Divide both sides by 21

x=9

Now for the second one

Let's write our equation

(19x-18)+(7x+1)+(10x-9)=180

Combine like terms

36x-26=180

Add 26 to both sides

36x = 206

Divide both sides by 36

x = 5.72222...

What is countercurrent multiplication?.

Answers

Answer:

What is countercurrent multiplication? ... Countercurrent multiplication in the kidneys is the process of using energy to generate an osmotic gradient that enables you to reabsorb water from the tubular fluid and produce concentrated urine.

tell me what u think of this edit. be honest
https://www.canva.com/design/DAEvhu4Z4k8/aBnd2_pTqvSH-NiEyhcVIQ/watch?utm_content=DAEvhu4Z4k8&utm_campaign=designshare&utm_medium=link&utm_source=publishsharelink

Answers

its alright, not the best but its good.

Answer:

very nice!

Step-by-step explanation:

Explain how you know when you can factor to solve quadratics as opposed to using the square root method

Answers

Answer:

If there's a common factor, divide both sides of the equation by that number to simplify the situation. If b = 0 (no bx term), go to the square root method. (if c is positive, there are no solutions). If c = 0, then one of your solutions is x = 0

Step-by-step explanation:

hope this helps!!!!

Please help me, its 3:06am in the morning & i have class in 3 hours :(

Answers

they look the same size but because of the 2 in front meaning it's going to be double than what the real answer it is (and it twelve Ike it's counter part) it would be six... yet someone already answered before me so credits to him.

ANSWER 6

On Monday, your bank account balance was -$12.71. Because you didn't realize this, you wrote a check for $30.96 for groceries. The new balance in the checking account dollars ​

Answers

Answer:

-$43.67

Step-by-step explanation:

your balance was negative $12.71 then you still took $30.96 for the groceries so the equation suppose be

-12.71 -30.96

it have same sign so you add them, after you add them you will get $43.67 but cause it was negative so your bank account's new balance was -$43.67.

how to do this? help me please:)​

Answers

Answer:

hope it helps.

stay safe healthy and happy.

Functions or Not a Function? Explain?

Answers

Answer:

not a function

Step-by-step explanation:

the last box (3-5) does not follow the rule +5

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