Determine if the graph is a function then state the domain and range.

Answers

Answer 1

Explanation

A function is a set of relation that doesn't have repetitive domain. If we want to know if a graph is function or not, we have to do the line test.

Line Test

Draw a vertical line. Make sure that a line passes through a graph.See if a line intercepts a graph more than one point or just only one.

Result

If a line intercepts a graph more than one point, it is not a function.

However, if a line only intercepts a graph just one point, it is indeed a function.

The given graph from the question is a function because it passes line test.

Domain and Range

Domain is the set of all x-values, meaning we only focus on x-axis or x-value only.

Range is the set of all y-values. We only focus on y-value or y-axis for Range.

Determine Domain from Graph

We can simply say that the domain is from starting domain or x-coordinate point to end x-coordinate point. For example, if a graph starts at x = -4 and ends at x = 2, we can say that - 4<=x=2.

Determine Range from Graph

Similar to Domain except Range starts from the minimum value or point to the maximum point or value. For example if a graph starts at min point = 6 and max point = 9. We can say that 6<=y<=9.

From the graph, the domain starts from negative infinity to positive infinity. Meaning that x can be any numbers. Hence, the domain is set of all real numbers. For range, the minimum value is 0 and max value is positive infinity. Therefore we write y>=0.

Answer

[tex] \begin{cases} x \in \mathbb{R} \\ y \geqslant 0 \end{cases}[/tex]

Domain is set of all real numbers.

Range is greater or equal to 0.

Related Questions

The area of a rectangular field is 48m2 and one of its sides is 6m . How long will a lady take to cross the field diagonally at the rate of 20m/min

Answers

Answer:

It will take her approximately 28 seconds to cross the diagonal of the pitch

Step-by-step explanation:

If we can find the length of the diameter of the field (in Metres), we can easily find the time it takes her to cross this length using motion equations.

Step one: Find the length of the field from its area.

The field is rectangular in shape. The area of the field is 48m^2. To get the area of the field, we had to multiply its length and its breadth.

i.e area = length X breadth.

Let us assume that the breadth = 6m

its length will be area / breadth = 42/ 6 = 7m

The length of the pitch = 7 m

Step Two: Find the length of the diagonal using Pythagoras' theorem.

From Pythagoras'theorem, the length of the diagonal can be obtained by

[tex]diagonal = \sqrt{l^2 +b^2}[/tex]

[tex]diagonal = \sqrt{6^2+ 7^2} = 9.22m[/tex]

The length of the diagonal is 9.22m

Step three: Find the time using her speed and the distance she needs to cover.

Time = distance / speed

time = 9.22 /20 = 0.46 minutes

It will take her approximately 28 seconds to cross the diagonal of the pitch

1. What do you remember about the slope of a line? 2. A ramp may not be steeper than 1:12. Draw a right triangle whose "rise" is 1 unit, and whose "run" is 12 units. 3. Set up a trig ratio and use it to solve for the maximum angle of elevation of the ramp. Round to the nearest hundred 4. The height of the door on your restaurant is 9.5 inches from the ground. Using the maximum angle of elevation possi what would the length of the ramp be (x)? What would the horizontal distance be (y)

Answers

I remember every thing it was so good j set ramp

Help needed ASAP!
Write a polynomial equation of degree 4 that has the following roots: -1 repeated three times and 4.

Answers

Answer:

[tex] {x}^{4} - {x}^{3} - {9x}^{2} - {11x}^{2} - 4 [/tex]

Step-by-step explanation:

Since the roots are -1,-1,-1 and 4 we can that as.

[tex](x + 1)(x + 1)(x + 1)(x - 4)[/tex]

x+1=0, x equal -1, and x-4=0 and x equal 4. Then apply the foil method to one at a time and you equal the answer above.

The sum of two numbers is 55. The smaller number is 13 less than the larger number. What are the numbers?

Answers

Answer:

21 and 34.

Step-by-step explanation:

21 is 13 less than 34 and the sum of them is 55.

Rearrange x= 3g + 2 to make g the subject

Answers

x = 3g + 2
3g + 2 = x
3g = x - 2
g = (x - 2)/3

Answer:

g = 1/3 x - 2/3

Step-by-step explanation:

x =3g + 2

Switch sides:

3g + 2 = x

Take away 2 from both sides:

3g = x - 2

Divide both sides by 3:

g = 1/3 x - 2/3

Can i get some help with this question please

Answers

Which question do you need to be answered?

Llllllllllllllllllllllllol

what is 0.5^2+(3/5)
please enter your answer below

Answers

Answer:

.85 or 17/20

Step-by-step explanation:

just use a calculator to solve

Jerry bought 72 sticks of gum. There are 8 sticks of gum in a package. Draw a table using the guess, check and revise strategy to solve the equation 8 times p = 72. 8p=7

Answers

Answer: Make a chart that has 2 rows of 10 boxes each and copy this info below.

Step-by-step explanation: Good luck! :D

Packages - Sticks of gum

1 - 8

2 - 16

3 - 24

4 - 32

5 - 40

6 - 48

7 - 56

8 - 64

9 - 72

Lin’s family’s longevity noodles are about 15 cm long and Chen’s family’s longevity noodle are 8 cm longer than Lin’s family’s noodle. Write an equation that can be used to find the length of Chen’s family longevity noodle. Solve the equation.

Answers

Answer: 23 cm(Hope it's Right!)

Step-by-step explanation:

Write Lin as L and Chen as C

So put 25cm+8cm

PLease HELLLPPPPP I NEED HELP

Answers

Answer: I don’t know...... sorry

Step-by-step explanation:

The ratio of men to women working for a company is 5 to 6. If there are 198 employees total, how many women work for the company?

Answers

Answer: 110 Women !

Step-by-step explanation:

Call their numbers 4x to 5x.

Since there are a total of 198 people,

4x + 5x = 198

9x = 198

x = 22

so that there are

88 men and 110 women.

Pleaseee I need help it’s a major grade

Answers

Answer: D.

Step-by-step explanation:

48/2.15= d, so 2.15d=48

Number 13 Find the measures of angles 1, 2, and 3.

Answers

Answer:

1. 37

2. 26

3. 26

Step-by-step explanation:

Subtracting 63 from 180, you find the linear pair, being 117 which helps find an angle in the lower triangle. The sum of all angles is 180, and to find 2, you subtract the known angles ( 180-(37+117)) which equals 26. Knowing the shape is a parallelogram, and the opposite sides are parallel, we can say 2 and 3 are congruent through the alternate interior angles theorem. 1 is found through applying the same theorem.

Solve for x

5/6 = x/4

Answers

Answer:

Step-by-step explanation:

Answer:

it would be x= 10/3

Step-by-step explanation: If this answer is incorrect my apologies.

96/38n X 25/45 (multiplying rational expressions .simplify.)

Answers

Alegbra problems

[tex] \frac{96}{38} \frac{25}{45} [/tex]

That's my answer I hope it helps #brainliestbunch - _ - ;)

Alegbra problems

[tex] \frac{96}{38} \frac{25}{45} [/tex]

That's my answer I hope it helps #brainliestbunch - _ - ;)

What is an equation of the line that passes through the points (6, 8)(6,8) and (-3, 2)(−3,2)?

Answers

Answer:

Hi how are you doing today Jasmine

Hi!!! CLICK HERE!!! please answer this question well :)) i'll try to give brainliest when i can! thanks guys.

Answers

Step-by-step explanation:

its too blurry I can't see the numbers

Can you please take an image that is more clear than this? I barely see the numbers and I don’t want to answer you question wrongly

solve the equation 52y-29=10 for y.

Answers

52y-29=10
+29 +29

52y=39

52/52 = 39/52

y=0.75
y=3/4

Answer:

The answer is B

Step-by-step explanation:

Which exponential function is represented by the graph ?

Answers

Answer:

amogus

Step-by-step explanation:

pls help me find the two words using the letters

Answers

Answer:

nest ,shot,west,then,show,

hope it helps you

i need help
4x+2=2(x+6)

Answers

Answer:

x = 5

Step-by-step explanation:

Answer:

X=5

Step-by-step explanation:

In a bag there are blue sweets, red sweets and yellow sweets. The number of blue sweets is four times the number of yellow sweets. The number of red sweets is half the number of yellow sweets. Find the percentage of sweets in the bag that are yellow.

Answers

Answer:

18.18%

Step-by-step explanation:

The percentage of sweets in the bag that are yellow is as follows:

Let us assume the number of yellow sweets be x

So for number of blue sweets be 4x

And, the number of red sweets be 0.5x

So it could be written as

Blue Red Yellow

4 0.5 1

8 1 2

So for yellow, the percentage is

= 2 ÷ (8 + 1 + 2)

= 2 ÷ 11

= 18.18%

PLEASE HELP ( I can mark if brainlest, no fake answers please)

Answers

Answer:

$80

Step-by-step explanation:

plug 40 into each equation for x

50+12(40)

simplify

50+480

simplify

530

10+15(40)

simplify

10+600

610

now subtract 530 from 610

610-530

HELP URGENT
sorry for the quality

Answers

Answer:n = 15Step-by-step explanation:now what do we divide by 3 to get 5 = 15now lets swap the n with the 15 to get4^([tex]\frac{15}{3}[/tex] + 5) = 40now simplify 4^(5 + 5) = 40simplify again 4^(10) = 404^ means times whats in the brackets by 4that equals 40 = 40

How many centimeters are equal to 5 inches?
Remember, 2.54 cm = 1 in. Do not include units in
your answer.

Answers

Answer:

12.7 is your answer

5 x 2.54 = 12.7

PLEASE HELP ME!!!!!

Max lost 23 pounds while on a diet. He now weighs 185 pounds. Write an equation that represents this scenario. Use the variable m . What does the variable represent?

Expression: Answer (as integer):

Interpretation:

Answers

Answer:

[tex]m-23=185[/tex], with [tex]m[/tex] representing Max's original weight

[tex]m=208[/tex]

Max weighed [tex]208[/tex] pounds before he went on his diet

Step-by-step explanation:

plz mark me brainliest. ;)

Determine the equation of the tangent to x− 3x +1 at the point (3,1)

Answers

9514 1404 393

Answer:

y = 3x -8

Step-by-step explanation:

We assume you want the tangent to the parabola y = x² -3x +1 at the given point. The slope is found using the derivative of the function at that point.

y' = 2x -3

At x=3, the slope is ...

y' = 2(3) -3 = 3

The equation of the line through point (3, 1) with a slope of 3 is ...

y -1 = 3(x -3) . . . . use the point-slope form of the equation for a line

y = 3x -9 +1 . . . . . eliminate parentheses, add 1

y = 3x -8

Cuatro amigos van al cine dos veces al mes y siempre comen un paquete de palomitas de maiz cada uno si no comia palomitas de maiz los cuatro amigos podrian ir al cine tres veces al mes sabiendo que cada paquete de palomitas de maiz cuesta $28 cual es el precio de cada entrada al cine

Answers

Answer:

El precio de la entrada al cine es de $56

Step-by-step explanation:

Cada uno de los 4 amigos las 2 veces por semana consumen un paquete de palomitas que cuesta: $28 ; entonces debemos multiplicar el costo de las palomitas por las dos veces que las consumen para saber el costo total de las palomitas:

28 x 2 =$56

El ejercicio nos dice que al no comer esas dos veces palomitas pueden ingresar a cine una tercera vez por semana ,lo que significa que al no pagar los $56 en palomitas podrán pagar una tercera entrada,lo que quiere decir que la entrada a cine es de $56.

Entonces podemos hacer la siguiente relación matemática: Precio total de las palomitas dos veces por semana = Precio de la entrada a cine.

Round to the nearest tenth if necessary. Use 3.14 for π. How long does it take to travel 150 miles at a rate of 60 mi/h? Show your work! I will give brainliest!

Answers

Answer:

Step-by-step explanation:

Answer: Hello, Today we are going to divide you want to divide the distance by rate.

150m/60mph =2.5h

Hope this helps and hope you carry on and hope you have learned something.Thanks!

Simplify:
3 (2x - 4)

Answers

Answer:

Step-by-step explanation:

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