What is the range of the graphed function?
{x |1< x < 5)
{y |1 < y <5}
{x | x is a real number}
{y|y is a real number}

What Is The Range Of The Graphed Function? {x |1&lt; X &lt; 5){y |1 &lt; Y &lt;5}{x | X Is A Real Number}{y|y

Answers

Answer 1

Answer:

Please check the explanation.

Step-by-step explanation:

Given the expression

[tex]V=\sqrt[3]{x-1}+3[/tex]

Determining the domain:

We know that the domain of a function is the set of input values for which the function is defined.

From the given graph, it is clear that the function has no undefined points nor domain constraints.

Therefore, the domain is:

{x | x is a real number}

In other words:

[tex]\mathrm{Domain\:of\:}\:\sqrt[3]{x-1}+3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

Determining the range:

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

It is clear from the graph that the range can be any real number.

i.e. the range is:

{y|y is a real number}

In other words,

[tex]\mathrm{Range\:of\:}\sqrt[3]{x-1}+3:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]


Related Questions

1. Find the slope between (-1, -3) and (4, 0)
a. 5/3
b. -3
c. - 3/5
d. 3/5
2. Given the equation: 3y = 15x + 9, find slope.
a. 5
b. 2/3
d. -2/3
c. Undefined
3. Given a point and a slope, write the equation in slope-intercept form; (1, 2) and m= -3
a. y = -3x + 1
b. y = -3x – 5
c. y = -3x + 5
d. y = -3x – 1
4. Write the equation of the line in slope-intercept form: y-int = (0,3) , m = 2
a. y = 2x + 3
b. y = -2x + 3
c. y = 2x
d. y = 3x +2
5. Given two points, write the equation in point-slope form: (1, 3) and (-2, 12)
a. y – 1 = -3(x – 3)
b. y – 3 = 5(x – 1)
c. y – 3 = -3(x – 1)
d. y + 12 = -3(x – 1)
6. Write the equation of the function graphed below.
a. y= x - 1
b. y= -x - 4
c. y = x - 4
d. y = x +1
7. The table below represents a linear function. What is the slope of this function?
a. 1/3
b. -1/3
c. 3
d. -3

Answers

Answer:

Step-by-step explanation:

1. Slope = (y2-y1) / (x2-x1) = -3-0/ -1-4= -3/-5= 3/5 (d)

2.

Compare to the equation y= mx+b, where m is the slope

3y = 15x+9 divide by 3 each term

y = 15x/3 +9/3

y= 5x + 3 so slope is 5 ( a)

3.

use first the equation point- slope y-y1 =m (x-x1) and rearange it to be in slope-intercept form y=mx +b

y-y1 =m (x-x1)

y-2 = -3( x-1)

y = 2-3x+3

y= -3x +5 ( c)

4.

if the point y- intercept is at (0, 3) then the y-intercept is b=3

y= mx+b

y = 2x +3 (a)

5.

the equation point- slope y-y1 =m (x-x1), find the slope m= (y2-y1) / (x2-x1)

m= 3-12/ 1+2 = -9/3 = -3

y-1 = -3(x-3) is (a)

6.

y-intercept is at -4  ( yet the graph is off a bit -tell your teacher)

slope m = 1

so the equation is y=mx+b and here is y=x -4 (c)

7.

the slope is m= (y2-y1) / (x2-x1) si pich any two points from the table and calculate the slope

for example (0, 3) and (1, 0)

m = (3-0)/ (0-1) = 3/-1 = -3 (d)

1. Slope = (y2-y1) / (x2-x1) = -3-0/ -1-4= -3/-5= 3/5 (d)

2.

Compare to the equation y= mx+b, where m is the slope

3y = 15x+9 divide by 3 each term

y = 15x/3 +9/3

y= 5x + 3 so slope is 5 ( a)

3.

use first the equation point- slope y-y1 =m (x-x1) and rearange it to be in slope-intercept form y=mx +b

y-y1 =m (x-x1)

y-2 = -3( x-1)

y = 2-3x+3

y= -3x +5 ( c)

4.

if the point y- intercept is at (0, 3) then the y-intercept is b=3

y= mx+b

y = 2x +3 (a)

5.

the equation point- slope y-y1 =m (x-x1), find the slope m= (y2-y1) / (x2-x1)

m= 3-12/ 1+2 = -9/3 = -3

y-1 = -3(x-3) is (a)

6.

y-intercept is at -4  ( yet the graph is off a bit -tell your teacher)

slope m = 1

so the equation is y=mx+b and here is y=x -4 (c)

7.

the slope is m= (y2-y1) / (x2-x1) si pich any two points from the table and calculate the slope

for example (0, 3) and (1, 0)

m = (3-0)/ (0-1) = 3/-1 = -3 (d)

TAKING TEST PLEASE HELP

Which trigonometric functions have a domain of [–1, 1]?


y = arcsinx and y = arccosx

y = arccosx and y = arctanx

y = arcsinx and y = arctanx

y = arcsecx and y = arccscx

Answers

Answer:

A

Step-by-step explanation:

Edge

The trigonometric functions y = arcsinx and y = arccosx have a domain of [–1, 1] option (A) is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The domain of a trigonometric function is [-1, 1]

As we know,

The range of the sin x and cos x functions is [-1, 1]

The inverse of the above trigonometric functions are:

arc sin x and arc cos x

The range of sin x and cos x becomes domain.

So the domain of y = arcsinx and y = arccosx is [-1, 1].

Thus, the trigonometric functions y = arcsinx and y = arccosx have a domain of [–1, 1] option (A) is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ6

What is the value of x in the equation below?
(9x – 6) = 4x + 10

Answers

Answer:

x = 16/5

Step-by-step explanation:

9x – 6 = 4x + 10 <-- Combine like terms on one side

5x = 16 <-- Isolate x

x = 16/5

Answer: 3.2

Step-by-step explanation:

(9x - 6) = 4x + 10

9x - 6 = 4x + 10

9x = 4x + 16

5x = 16

x = 3.2

Suppose you just deposited $500 into a bank account that has earned 5% interest on the amount you initially
invested. If the new balance is $1,760, what was your initial investment?

Answers

Answer:

$1200

Step-by-step explanation:

Let the initial amount that you invested be $ x.

We are told that the new balance after investing $500 is $1760.

Thus, the balance you had before the deposit $500 us;

$1760 - $500 = $1260

So, when the amount invested was $x, the balance was $1260.

Since this money earned 5% interest on the amount you initially

Thus;

$1260 = initial deposit + (5% of inital deposit)

Thus;

x + (5% * x) = 1260

x + (0.05x) = 1260

1.05x = 1260

x = 1260/1.05

x = $1200

An initial population of 460 quail increases at an annual rate of 21%. Write an exponential function
to model the quail population. What will the approximate population be after 3 years?

Answers

Answer:

the expected population after 3 years is 863.7009

Step-by-step explanation:

The computation of the expected population after 3 years is shown below

P = P_0 × e^rt

where,

r = 21% = 0.21

t = 3 years

P_0 = 460

Now place these values to the above formula

P = 460 × exp(0.21 × 3)

= 863.7009

hence, the expected population after 3 years is 863.7009

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Write the ratio
2/3 /5
in simplest form

Answers

Answer:

A) 2/15

Step-by-step explanation:

So just divide it normally, do keep change flip

2/3*1/5

2/3 keep

divison change

Denomeinator, flip it, 5 to 1/5

now multiply

2/15

solve the equation below -2x+16=10​

Answers

Answer:

x=3

Step-by-step explanation:

If the coordinates of point a are (-2 3) what is the image of a under y-axis d3

Answers

Answer:

The coordinates of the image under the y-axis will be:

a'(2, 5)

Step-by-step explanation:

Given the point

(2,3)

We know that when we reflect a point across the y-axis, the y-coordinate remains the same, but the x-axis reverses its sign.

Thus,

Rule of reflection under y-axis:

P(x, y) → P'(-x, y)

Here, P'(x, y) is the image of the P(x, y)

Given that the point

a(-2, 5)

Thus, the coordinates of the image under the y-axis will be:

(x, y) → (-x, y)

a(-2, 5) → a'(-(-2), 5) = a'(2, 5)

Therefore, the coordinates of the image under the y-axis will be:

a'(2, 5)

Find the quotient 17÷3,145​

Answers

Answer:

0.0054054054

Also simplify to 0.005

Answer:

17÷3,145=0.00540

If 3 sodas cost $6 then what is the cost per soda??

Answers

The cost is 2 dollars per soda

Answer:

$2 per soda

Step-by-step explanation:

6/3= 2

Your cell phone company charges $20 per month for 500 minutes plus an additional
10 cents per minute for additional usage. If you use 510 minutes this month how
much should you expect to pay?
$1000
$21
$20
$20.10

Answers

Answer:

$21

Step-by-step explanation:

$20 for the 500 minutes

We still have to pay for 10 minutes.

10 cents per minute.

10centsx10 minutes.

100 cents, also known as 1 dollar.

$20 plus $1 means the answer is $21.

Hope this helps!

-AxekickNebulite

Find the quotient of -72÷-9

Answers

Answer: 8

Step-by-step explanation:

hope this helped :)

Answer:

8

Step-by-step explanation:

Which matrix represents the system of equations?

3x + y = -9

x + 5y = 16

A. [3 0 ]
[0 5 ]

B. [3 1]
[1 5]

C. [3 0| -9]
[0 5| 16]

D. [3 1| -9]
[ 1 5| 16]

Answers

Point form (76,-12)
X=76,y=-12

9514 1404 393

Answer:

D. [3 1 | -9]

   [ 1 5 | 16]

Step-by-step explanation:

The matrix of B represents the coefficients of the variables. It would generally be part of a matrix equation:

  [tex]\left[\begin{array}{cc}3&1\\1&5\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}-9\\16\end{array}\right][/tex]

However, the entire system of equations can be represented by the augmented matrix ...

  [tex]\left[\begin{array}{cc|c}3&1&-9\\1&5&16\end{array}\right] \qquad\textbf{matches D.}[/tex]

Last year Jonathan was 59 and 5/8 inches tall. This year he is 64 and 3/8 inches tall. How many
inches did he grow?

Answers

Answer: John grew 4 and 3/4 inches in one year.

Step-by-step explanation:

Start by subtracting  64.375 (64 and 3/8) by 59.625 (59 and 5/8).

Type your numbers into a calculator (both ways can be put into your calculator, but decimals are easier for you to type)

Get your final answer of 4.75.

Hope this helps!

what is the number which is to be added with 49x square + 4y square to get a perfect square

Answers

Answer:

The number which should be added  with 49x square + 4y square to get a perfect square is 28xy

Step-by-step explanation:

We need to find the number which is to be added with 49x square + 4y square to get a perfect square.

The expression given is: [tex]49x^2+4y^2[/tex]

For the expression to be perfect square it should be of form: [tex]a^2+2ab+b^2=(a+b)^2[/tex]

Now, we are given [tex]49x^2+4y^2[/tex] and we need to find the middle term

So, solving:

[tex]49x^2+4y^2\\=(7x)^2+(2y)^2+2(7x)(2y)-2(7x)(2y)\\=7x^2+28xy+(2y)^2-28xy\\=(7x+2y)^2-28xy[/tex]

The number which should be added  with 49x square + 4y square ([tex]49x^2+4y^2[/tex]) to get a perfect square is 28xy

6. A stack of paper is 4.875 cm tall.
How many pieces of paper are in
the stack if each piece is 0.0075 cm
thick?

Answers

Answer:

650 pieces of paper

Step-by-step explanation:

each piece is 0.0075 so all you need to do is divide 4.875 by 0.0075

What is the image point of (3, – 7) after the transformation D3 o R180° ?​

Answers

Answer:

Step-by-step explanation:

Here is a guide to help:

Best of luck!

Answer: (9,21)

Step-by-step explanation:

R180 (3,-7) = (-(3),-(-7)) = (-3,7)


D3​ (−3,7) = (3 x −3, 3 x 7) = (−9,21)

Andre poured 27 ounces of rice into 6 containers. If all containers have the same amount of rice, how many ounces are in each container?

Answers

27/6=4.5 ounces
4.5 ounces in each container

I need help with this

Answers

Answer:

I WAS BORN TO FLEX DIMONDS ON MY NECK I LIKE MORNING CHECKS I LIKE MORING S**

Step-by-step explanation:

work out and simplify 3/8 - 1/16

Answers

Answer:

3x4/8×4-1x2/16x2

12/32-2/32=10/32

hope it helped

Which situation leads to a unit cost of $6 per football ticket?
Select one:
1)6 football tickets for $24
2)12 football tickets for $72
3)$6 paid for 6 football tickets
4)$6 paid for 2 football tickets

Answers

Answer:

1.) 6 football tickets for $24

Step-by-step explanation:

The situation which leads to a unit cost of $6 per football ticket is; 6 football tickets for $24.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Multiplication is the mathematical operation is used to determine the product of two or more numbers.

We have been given a condition as; a unit cost of $6 per football ticket.

Meaning that;

The cost of one football ticket is 6 dollar

Then The cost of 12 football ticket  = 12 x 6 dollar

                                                  = 72

Therefore, the situation which leads to a unit cost of $6 per football ticket is; 12 football tickets for $72.

To learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ5

Please help with this math question...
When using Interval Notation, explain how the grouping symbols are used and how to determine the order of the numbers used in the interval. Use words such as: brackets, smallest, non-included, included, largest, interval, and parentheses.

Answers

Answer:

Step I: Simplify the operations inside grouping symbols. Step II: Simplify the powers. Step III: Solve multiplication and division from left to right. Step IV: Solve addition and subtraction from left to right.

Can anybody help me with this plzzz‼️
(If answer is correct i will cashapp you $6)

Answers

Step-by-step explanation:

h(x) = 3. g(x) + 5

x= -1 h(x) = 3×8 + 5= 29

x= 0h(x) = 3×5 + 5= 20

x= 2 h(x) = 3×1 + 5= 8

x= 5 h(x) = 3×-5 + 5= -10

[tex]h(x) = 3*g(x)+5[/tex]

When x = -1.

Substitute x = -1 in both h(x) and g(x).   | As shown in the table, when x = -1, g(x) = 8 |

h(-1) = 3*8+5 = 24+5 = 29

h(0) = 3*5+5 = 15+5 = 20

h(2) = 3*1+5 = 3+5 = 8

h(5) = 3*(-5)+5 = -15+5 = -10

PLEASE HELP ME What is the least common denominator of the fraction 4 over x plus the fraction 2 x over x minus 1 plus the fraction x plus 3 over 2 x? (6 points)

Group of answer choices


2x − 12

(x− 1),

2(x2 − 1)

2x(x − 1)

Answers

The answer is 2x(x-1) hope this helps

Adriana went to school for 6 2/5 hours on Tuesday. What is 6 2/5 expressed as a decimal?

Answers

Answer:

6.4 .

Step-by-step explanation:

this was on my test

what is a linear equation that contains these points?​

Answers

B. It can be written in the following form: y=7+0*x so for any value of x, y would be 7

8x+5y=-13 3x+4y=10 solve

Answers

Answer:

x=−6 and y=7

Step-by-step explanation:

Step: Solve8x+5y=−13for x:

8x+5y=−13

8x+5y+−5y=−13+−5y(Add -5y to both sides)

8x=−5y−13

8x

8

=

−5y−13

8

(Divide both sides by 8)

x=

−5

8

y+

−13

8

Step: Substitute

−5

8

y+

−13

8

forxin3x+4y=10:

3x+4y=10

3(

−5

8

y+

−13

8

)+4y=10

17

8

y+

−39

8

=10(Simplify both sides of the equation)

17

8

y+

−39

8

+

39

8

=10+

39

8

(Add 39/8 to both sides)

17

8

y=

119

8

17

8

y

17

8

=

119

8

17

8

(Divide both sides by 17/8)

y=7

Step: Substitute7foryinx=

−5

8

y+

−13

8

:

x=

−5

8

y+

−13

8

x=

−5

8

(7)+

−13

8

x=−6(Simplify both sides of the equation)Step: Solve8x+5y=−13for x:

8x+5y=−13

8x+5y+−5y=−13+−5y(Add -5y to both sides)

8x=−5y−13

8x

8

=

−5y−13

8

(Divide both sides by 8)

x=

−5

8

y+

−13

8

Step: Substitute

−5

8

y+

−13

8

forxin3x+4y=10:

3x+4y=10

3(

−5

8

y+

−13

8

)+4y=10

17

8

y+

−39

8

=10(Simplify both sides of the equation)

17

8

y+

−39

8

+

39

8

=10+

39

8

(Add 39/8 to both sides)

17

8

y=

119

8

17

8

y

17

8

=

119

8

17

8

(Divide both sides by 17/8)

y=7

Step: Substitute7foryinx=

−5

8

y+

−13

8

:

x=

−5

8

y+

−13

8

x=

−5

8

(7)+

−13

8

x=−6(Simplify both sides of the equation)

Answer: The intersection between these 2 lines are (-6,7)

Source: Desmos Graphing Calculator (look it up its very helpful and gives answers)

help i need this soon its 8th grade math​

Answers

Answer:

50 degrees

Step-by-step explanation:

vertical angles are the same

angle LPM = 180-60-70

angle LPM = 180-130 = 50

angle LPM = angle KPN

50=angle KPN

The correct answer would be, 50°
I hope this helps!

3. Jackson answered 80o of the questions on his Science test correctly. Colton scored 10
out of 12. Who scored the highest score?

Answers

Answer:

i think they both scored the same

Answer:

Colton did.

Step-by-step explanation:

Jack's score was 80%.

Colton got a score of 83.33...

I got Colton's score by solving 10/12.

A part-time employee worked 4 hours on Monday and 7 hours each day for the next 3 days

Answers

The answer is 24 hours
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