How would you limit the domain to
make this function one to one?
f(x) = (x + 3)^2

How Would You Limit The Domain Tomake This Function One To One?f(x) = (x + 3)^2

Answers

Answer 1

Answer:

Domain would be x -3.

So enter -3.

Step-by-step explanation:

This is a parabola with line of symmetry x = -3.

When x has values like  say -4 and -2,  f(x)  will have a value of 1 making the function many to one.

So,  to make it one to one, x would have to be equal or greater than -3.

Answer 2

A function assigns values. The limit of the domain to make this function one to one is x≥3.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

A one to one function is a function whose every input gives a distinct output. Now given the function is a quadratic function, therefore, the function will have the same output for multiple inputs.

Since the symmetrical axis for this function lies at x=-3, therefore, for the function to be one to one the domain of the function must be greater than or equal to 6.

Hence, the limit of the domain to make this function one to one is x≥3.

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How Would You Limit The Domain Tomake This Function One To One?f(x) = (x + 3)^2

Related Questions

What is the relationship between ∠FBE and ∠CBD?

Answers

Answer:

They are both 47 degrees

21 years ago Alvin was 11 times older than Tomio. The sum of their present age is 54.

Answers

Answer:

Not sure exactly what answer you are looking for. But I assume it is the ages of them. Their original ages would be Tomio - 1 year old, Alvin - 11 years old. Now, Tomio - 22, Alvin - 32

Step-by-step explanation:

1(tomio) x 11 = 11 (alvin) (add 21 to these)

22+32=54

hope that makes sense

WILL GIVE BRAIN FIND THE UNKNOWNS TYSM!!!!

Answers

Answer:

if i'm correct you either divide the two numbers you have to get the answer or you multiply them to get the answer

Step-by-step explanation:

108 divided by 92

or

108 x 92

The graph shows a line and two similar triangles. What is the equation of the line? y = 3 x y = one-third x y = one-third x + 2 y = 3 x + 2

Answers

TEMA

Una ecuación es una igualdad matemática entre dos expresiones, denominadas miembros y separadas por el signo igual, en las que aparecen elementos conocidos y datos desconocidos o incógnitas, relacionados mediante operaciones matemáticas

CONCEPTO

Una ecuación es una igualdad matemática entre dos expresiones, denominadas miembros y separadas por el signo igual, en las que aparecen elementos conocidos y datos desconocidos o incógnitas, relacionados mediante operaciones matemáticas

------------------------------------------------------------------------Igualdad entre dos expresiones que contiene una o más variables."ecuación de segundo grado"Igualdad o paralelismo entre dos o más cosas.

Each cube inside the rectangular prism has an edge length of (3)/(4) inch. What is the volume of the rectangular

Answers

It should 12 and count the sides and add it

Find the perimeter of the figure.

Answers

Answer:

24 in

Step-by-step explanation:

Perimeter = 9 + 5 + 1 + 5 + 4 = 24 in

Hope that helps!

My birthday is tomorrow I'm going out of town:) trying to get these hope I do

Answers

That would be really nice, I like the black one with the four circles. Hope you get them :) happy early birthday

Answer:

i hope you do too

Step-by-step explanation:

a fidget spinner? HJBDH

Express as a single power in base 5.
125 x 5^19X (25)3

Answers

Answer:

im pretty sure its 3 plz tell me if im wrong im new here but i think its right

Step-by-step explanation:

Select the end behavior of the exponential function shown in the graph

Answers

Answer:

The x graph

Step-by-step explanation:

The x graph

Answer: D

Step-by-step explanation:

Please answerrrrrrrrrr pleaseeeeeeee

Answers

Answer:

[tex]\Huge\boxed{x=53}[/tex]

Step-by-step explanation:

Hello There!

Once again we need to use trigonometry to solve for X

Here are the Trigonometric Ratios:

Sin = Opposite divided by hypotenuse

Cos = adjacent divided by hypotenuse

Tan = Opposite divided by adjacent

We are given the adjacent side of x (45) and the hypotenuse (75) so we need to use cos

Remember cos = adjacent divided by hypotenuse

Now we create an equation

[tex]cos(x)=\frac{45}{75}\\\frac{45}{75} =.6[/tex]

now we have

[tex]cos(x)=.6[/tex]

like always we want to get rid of cos

to do so we take the inverse of cos (arccos^-1) and apply that to each side

[tex]arccos^-^1(cos(x))=x\\arccos^-^1(.6)=53.13010235[/tex]

finally we round to the nearest degree

we're left with x = 53

Sarah drove 420 miles in 6 hours. Jonathan drove the same distance going an average of 60 miles per hour throughout the entire trip.
Who was driving faster and by how much?

Answers

Answer:

Sarah was driving faster by 10 mph.

She was driving 70 miles per hour while Jonathan was only driving 60 miles per hour.

HELP DUE IN 10 MINS! A cable that is 25 m long runs from the top of a utility pole to a point on the ground that is 20 m from the base of the pole. How tall is the pole? (Hint: Draw a picture)

The pole is
??
m tall.

Answers

Answer:

15 m

Step-by-step explanation:

x² + 20² = 25²x² + 400 = 625x² = 225x = √225x = 15

1. Se dispara una bala de 10grbcon una velocidad de 500m/s contra un muro de 10cm de espesor. Si la resistencia del muro al avance de la bala es de 3000 N, calcula la velosidad calcula la velocidad de la bala después de atravesar el muro. 2. Un automóvil de 1000kg de masa aumenta su velosidad de 0 a 100 km/h en un tiempo mínimo de 8s calcula su potencia en watios y en caballos de vapor. Dato : 1cv = 735w. 3. Desde una altura de 10m deja caer un cuerpo de 5kg. Calcula su velocidad al llegar al suelo

Answers

Answer:

1) La velocidad de la bala después de atravesar el muro es de aproximadamente 435,890 metros por segundo.

2) La potencia del automóvil es 96438,272 watts o 131,208 caballos de vapor.

3) La velocidad del objeto al llegar al suelo es aproximadamente 14,005 metros por segundo.

Step-by-step explanation:

1) La velocidad final de la bala puede determinarse mediante el Teorema del Trabajo y la Energía, a partir del cual se tiene la siguiente fórmula:

[tex]\frac{1}{2}\cdot m\cdot v_{o}^{2} -F\cdot \Delta s = \frac{1}{2}\cdot m \cdot v_{f}^{2}[/tex] (1)

Where:

[tex]m[/tex] - Masa de la bala, en kilogramos.

[tex]v_{o}, v_{f}[/tex] - Velocidades inicial y final de la bala, en metros por segundo.

[tex]F[/tex] - Resistencia del muro al avance de la bala, en newtons.

[tex]\Delta s[/tex] - Espesor del muro, en metros.

Si sabemos que [tex]m = 0,01\,kg[/tex], [tex]v_{o} = 500\,\frac{m}{s}[/tex], [tex]F = 3000\,N[/tex] and [tex]\Delta s = 0,1\,m[/tex], entonces la velocidad final de la bala es:

[tex]v_{f}^{2}=v_{o}^{2} -\frac{2\cdot F\cdot \Delta s}{m}[/tex]

[tex]v_{f} = \sqrt{v_{o}^{2}-\frac{2\cdot F\cdot \Delta s}{m} }[/tex]

[tex]v_{f} \approx 435,890\,\frac{m}{s}[/tex]

La velocidad de la bala después de atravesar el muro es de aproximadamente 435,890 metros por segundo.

2) Asumamos que el automóvil acelera a tasa constante, significando que la fuerza neta será constante. Para un sistema cuya fuerza neta sea constante, la potencia experimentada queda descrita por la siguiente ecuación:

[tex]P = m\cdot a(t)\cdot v(t)[/tex] (2)

[tex]a(t) = a[/tex] (3)

[tex]v(t) = v_{o} + a\cdot t[/tex] (4)

Donde:

[tex]P[/tex] - Potencia, en watts.

[tex]m[/tex] - Masa del automóvil, en kilogramos.

[tex]a(t)[/tex] - Aceleración, en metros por segundo al cuadrado.

[tex]v(t)[/tex] - Velocidad, en metros por segundo.

[tex]v_{o}[/tex] - Velocidad inicial del automóvil, en metros por segundo.

Si sabemos que [tex]m = 1000\,kg[/tex], [tex]a = 3,472\,\frac{m}{s}[/tex], [tex]v_{o} = 0\,\frac{m}{s}[/tex] y [tex]t = 8\,s[/tex] entonces la potencia experimentada por el automóvil es:

[tex]P = 96438,272\,W[/tex] ([tex]131,208\,C.V.[/tex])

La potencia del automóvil es 96438,272 watts o 131,208 caballos de vapor.

3) El cuerpo experimenta un Movimiento de Caída Libre, el cual es un Movimiento Uniformemente Acelerado debido a la gravedad terrestre. La velocidad del cuerpo al llegar al suelo se determina mediante la siguiente fórmula cinemática:

[tex]v_{f} = \sqrt{v_{o}^{2}+2\cdot g\cdot h}[/tex] (5)

Donde:

[tex]v_{o}[/tex] - Velocidad inicial del cuerpo, en metros por segundo.

[tex]v_{f}[/tex] - Velocidad final del cuerpo, en metros por segundo.

[tex]g[/tex] - Aceleración gravitacional, en metros por segundo al cuadrado.

[tex]h[/tex] - Altura recorrida por el cuerpo, en metros.

Si sabemos que [tex]v_{o} = 0\,\frac{m}{s}[/tex], [tex]g = 9,807\,\frac{m}{s^{2}}[/tex] y [tex]h = 10\,m[/tex], entonces la velocidad al llegar al suelo es:

[tex]v_{f} \approx 14,005\,\frac{m}{s}[/tex]

La velocidad del objeto al llegar al suelo es aproximadamente 14,005 metros por segundo.

can someone help me please ❤️

Answers

Answer:314

Step-by-step explanation:

V=pi r squared

V= 3.14x10 squared

10 squared= 100

V=3.14x 100

V= 314

NEED HELP ! PLEASE HELP ASAP !

Answers

Answer:

distance between points is 5.6568...

when you round it will be 5.7

answer is 5.7

Step-by-step explanation:

find the distance between two points using distance formula

Which angles are vertical angles?
2 and 4
1 and 5
2 and 5
2 and 3

Answers

Do they have a picture i can look at

1. Christina drew a scale model of an Olympic-size swimming pool using a
scale in which 3 centimeters represents 10 meters. If the length of the
pool in her drawing is 15 centimeters, what is the length of the actual
pool?
4,5 m
D 150 m

Answers

Answer: 4,5

Step-by-step explanation:

The actual length of the Olympic-size swimming pool which is drawn by Christina on the scale model is 50 meters.

What is scale factor?

Scale factor is the factor which is used to enlarge or smaller the original figure.

Scale factor is the ratio of representation measurement of the figure to the original figures.

Christina drew a scale model of an Olympic-size swimming pool using a scale in which 3 centimeters represents 10 meters.

Thus, the scale factor is for cm to m,

[tex]r=\dfrac{3}{10}\rm[/tex]

The length of the pool in her drawing is 15 centimeters. Let the length of the actual pool is x cm. Thus,

[tex]\dfrac{15}{x}=\dfrac{3}{10}\\x=50\rm \; m[/tex]

Thus, the actual length of the Olympic-size swimming pool which is drawn by Christina on the scale model is 50 meters.

Learn more about the scale factor here;

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i need help finding the y-intercept

Answers

Answer: (0, -7)

Step-by-step explanation:

y = mx + b

Where m is slope and b is y-intercept

y = 2x + b

One point that passes through the line is (5,3), which means that x = 5 and y = 3

3 = 2(5) + b

3 = 10 + b

b = -7

(0, -7) is the y-intercept

Using this info you can find the equation of the line

:)

The intercept of the line is 2


BICYCLES A bicycle has tires that are 24 inches in
diameter.
How many inches does the tire travel after 350 rotations?

Answers

Answer:

75.4 in. b. 7540 in. Find the diameter and radius of a circle with the.

Step-by-step explanation:

hope this helped !!!!!!

true or false: the diagonals of a rectangle bisect opposite angles​

Answers

Answer:

False

Step-by-step explanation:

diagonals don't have to be congruent or bisect each other. The diagonals of a rectangle bisect its angles.

How many degrees is angle x?

Answers

Answer

127

Step-by-step explanation:

First add 42 and 85. Then do 180-(42+85) to get w. Then do 180-w to get x as a line always equals 180

Lexi and Ann went shopping. Ann wondered how much tax she would have to pay on her purchase of $76. Lexi said, "They just charged me $17 in taxes when I bought these outfits for $200." How much will Ann pay in taxes?

Answers

I think the answer would be 76 but someone already told you it!

Ann will pay in taxes on her purchase of $76, if Lexi paid a charge of  $17 in taxes when she bought these outfits for $200, is $6.46.

What is division?

It is the basic arithmetic operation, in which you are separating the number into some parts.

Given:

Lexi paid a charge of  $17 in taxes when I bought these outfits for $200,

Calculate the charge in one dollar = 17 / 200

Now, calculate the charge for $76 dollar = 17 / 200 × 76

The charge for $76 dollar = $6.46

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Algebra 1

help please!

Answers

Answer:

b

Step-by-step explanation:

Sorry this isn't the answer, I could give it to you but I know a website that would help you better and I don't feel like opening my laptop but desmos would be great for this if you don't already use it

Step-by-step explanation:

But you put the (2,4) in a box and the (-6,5) in another box and the answer will be where they connect like in and x

En un estudio estadistico se van a usar unicamente variables cuantitativas discretas para ingresarlas a un programa de analisis estadistico. la variable que se debe ingresar en el programa corresponde a: a nacionalidad b nivel de escolaridad c edad d altura

Answers

Answer:

la variable que se debe ingresar en el programa corresponde a: c. edad

Step-by-step explanation:

Las variables cuantitativas son aquellas que toman valores numéricos y se clasifican en variables cuantitativas discretas que son las que sólo pueden asumir un número limitado de valores en un determinado rango, como por ejemplo, el número de carros que posee una persona y variables cuantitativas continuas que pueden tomar cualquier valor en un rango específico, como por ejemplo, el peso de un objeto. De acuerdo a estas definiciones, la respuesta es que la variable que se debe ingresar en el programa corresponde a: edad porque es una variable discreta dado que se registra en números enteros y no acepta cualquier valor en un intervalo específico.

Las otras opciones no son correctas porque la nacionalidad y el nivel de escolaridad no son variables cuantitativas y la altura es una variable cuantitativa continua.

Out of the 400 students surveyed,
-how many more students chose Mr.
Crosby than Ms. Smokey?
Favorite Teacher

Answers

Answer:

60 more students

Step-by-step explanation:

400 × 0.3 (30%) = 120

400 × 0.15 (15%) = 60 = 120÷2

120 -- 60 = 60

60 more students

brainliest plz if someone else answers

What value of x makes the equation 5(4x - 1)=4(2.5x+8) true?

need help asap ?

Answers

Answer:

37/10

( I hope this was helpful) >;D

Hopefully this helps

Help please. I need this in a few minutes

Answers

Answer:

Step-by-step explanation:

Slope equals 3.5/2 (rise over run)

Wayne types about 50 words per minute.A typical double spaced page contains 500 words.how long doe sit take Wayne to type 8 1/2 pages?

Answers

Answer:

Step-by-step explanation:

50t=500(8.5)

t=10(8.5)

t=85 minutes

Answer: 85 minutes

Step-by-step explanation:

First, find how many minutes it takes for Wayne to type a page containing 500 words. 500/50= 10 minutes

You then multiply that by 8

8(10)= 80 minutes to type 8 pages.

Now find how many words are in half a page.

500/2=250 words

Divide that by the amount of words Wayne can type per minute. 250/50= 5

Add that to the amount of minutes it took to type 8 pages. 85 minutes

Which is also 1 hour 25 minutes

Pythagorean therom HELPOP

Answers

Answer:

its 12

Step-by-step explanation:

The width of the pond is 12

Part C: If HI = 7, find KL. Show your work.

Answers

Answer:

KL= 14

Step-by-step explanation:

4*2=8

5*2=10

7*2=14

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